Basically, libertarianism is concerned with how much control should governments have over 'private matters'. From the Wikipedia: 'Libertarians seek to maximize political freedom and autonomy, emphasizing freedom of choice, voluntary association, and individual judgment.Libertarians share a skepticism of authority and state power, but they diverge on the scope of their opposition to existing political and economic systems.' These list of best books for libertarians is favorite of Goodreads members.

Atlas Shrugged by Ayn Rand
The Road to Serfdom by Friedrich A. Hayek
1984 by George Orwell
Economics in One Lesson: The Shortest & Surest Way to Understand Basic Economics by Henry Hazlitt
The Law by Frédéric Bastiat
The Fountainhead by Ayn Rand
The Moon is a Harsh Mistress by Robert A. Heinlein
Anthem by Ayn Rand
The Revolution: A Manifesto by Ron Paul
The Declaration of Independence and the Constitution of the United States of America by Founding Fathers
For a New Liberty: The Libertarian Manifesto by Murray N. Rothbard
Free to Choose: A Personal Statement by Milton Friedman
Liberty Defined: 50 Essential Issues That Affect Our Freedom by Ron Paul
The Constitution of Liberty by Friedrich A. Hayek
Anarchy
We the Living by Ayn Rand
Common Sense
Brave New World by Aldous Huxley
Human Action: A Treatise on Economics by Ludwig von Mises
Counteract
End the Fed by Ron Paul
Animal Farm by George Orwell
Roadmap to Liberty: The Liberty-Approach to Every Economic
Starship Troopers by Robert A. Heinlein
The Prince by Niccolò Machiavelli
On Liberty by John Stuart Mill
Capitalism and Freedom by Milton Friedman
Thieves Emporium by Max Hernández
The Libertarian Reader: Classic and Contemporary Writings from Lao Tzu to Milton Friedman by David Boaz
Eat the Rich: A Treatise on Economics by P.J. O’Rourke
Watership Down
Liberalism by Ludwig von Mises
Crisis and Leviathan: Critical Episodes in the Growth of American Government by Robert Higgs
Meltdown: A Free-Market Look at Why the Stock Market Collapsed
The Fellowship of the Ring
The Return of the King
The Two Towers
The Probability Broach
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Civil Disobedience by Henry David Thoreau
The Handmaid’s Tale by Margaret Atwood
My Thoughts Are Murder to the State by Henry David Thoreau
Glory Road by Robert A. Heinlein
Give Me a Break: How I Exposed Hucksters
Capitalism: The Unknown Ideal by Ayn Rand
Citizen of the Galaxy by Robert A. Heinlein
Little Brother by Cory Doctorow
The Declaration of Independents: How Libertarian Politics Can Fix What’s Wrong with Americaby Nick Gillespie
Glenn Beck’s Common Sense: The Case Against an Out-of-Control Government
(Unincorporated Man #1) by Dani Kollin
33 Questions About American History You’re Not Supposed to Ask by Thomas E. Woods Jr.
The Republic by Plato
Noble House
Red Planet by Robert A. Heinlein
The Cult of the Presidency: America’s Dangerous Devotion to Executive Power by Gene Healy
Pallas by L. Neil Smith
Rise of the Warrior Cop: The Militarization of America’s Police Forces by Radley Balko
Modern Times: The World from the Twenties to the Nineties by Paul Johnson
The Forever War
Ender’s Game
The Politically Incorrect Guide to the Constitution by Kevin R.C. Gutzman
Tao Te Ching by Lao Tzu
The Forgotten Man: A New History of the Great Depression by Amity Shlaes
Lord of the Flies by William Golding
Simple Rules for a Complex World by Richard A. Epstein
Falling Stars
Don’t Vote
(Golden Age #1) by John C. Wright
Rollback: Repealing Big Government Before the Coming Fiscal Collapse by Thomas E. Woods Jr.
All the Trouble in the World by P.J. O’Rourke
Objectivism: The Philosophy of Ayn Rand by Leonard Peikoff
The Structure Of Liberty: Justice And The Rule Of Law by Randy E. Barnett
Introduction to the Libertarian Party: For Democrats
The Name of the Rose by Umberto Eco
The Hunt for Red October (Jack Ryan Universe)
The Libertarian Mind: A Manifesto for Freedom by David Boaz
Faith of the Fallen
The Blue Tent Sky: How the Left’s War on Guns Cost Me My Son and My Freedom by Brian D. Aitken
The Wreck of The River of Stars by Michael Flynn
Angels of the Revolution by J.W. Horton
Welcome to the Monkey House by Kurt Vonnegut Jr.
Firestar
Walden & Civil Disobedience by Henry David Thoreau
Lodestar
Live Free or Die
Federalist Papers by Jay Madison Hamilton
Voyage from Yesteryear by James P. Hogan
The Way the World Works by Jude Wanniski
Walden by Henry David Thoreau
How I Found Freedom in an Unfree World: A Handbook for Personal Liberty by Harry Browne
World Without End The Pillars of the Earth
Radical Son: A Generational Odyssey by David Horowitz
Planning for Freedom
Free Space by Brad Linaweaver
An Inconvenient Book: Real Solutions to the World’s Biggest Problems by Glenn Beck
A Short History of Man: Progress and Decline by Hans-Hermann Hoppe
Principles For A Free Society: Reconciling Individual Liberty With The Common Good by Richard A. Epstein
Radicals for Capitalism: A Freewheeling History of the Modern American Libertarian Movementby Brian Doherty
Liberal Fascism: The Secret History of the American Left from Mussolini to the Politics of Meaning by Jonah Goldberg
The Anatomy of the State by Murray N. Rothbard
The Open Society and Its Enemies — Volume 1: The Spell of Plato by Karl R. Popper
The Collected Stories of Vernor Vinge by Vernor Vinge
The Fatal Conceit: The Errors of Socialism by Friedrich A. Hayek
The Machinery of Freedom: Guide to a Radical Capitalism by David D. Friedman
On Liberty and Other Essays by John Stuart Mill
Two Treatises on Civil Government by John Locke
The Price of Freedom: Political Philosophy from Thoreau’s Journals by Henry David Thoreau
A Town Like Alice by Nevil Shute
Up from Slavery by Booker T. Washington
The Tery (The LaNague Federation #5) by F. Paul Wilson
My Bondage and My Freedom by Frederick Douglass
The Unbearable Lightness of Being by Milan Kundera
Democracy in America by Alexis de Tocqueville
Virtual Pulp by Henry Brown
Forty Days at Kamas
1134: The Infiltration of Eden by Walter W. Stein
Little Miss Bossy by Roger Hargreaves
The Next American Revolutionary War by L.B. Sommer
Rational Government: Democracy Based on Reason Rather then Politics by James Coughlan
Libertania: The Liberation of Conformia by Brian Lobb
Barack Obama: A Detailed Response to Benghazi by Illumination Publishing
Resurrecting Cybele by Jenifer Mohammed
Forming a Worldview: One Man’s Journey by David Mahler
Dogs of Orninica by Daniel Unedo
The Last American Martyr by Tom Winton
Withur We by Matthew Bruce Alexander
Strange Worlds by Paul Clayton
Empire: How Britain Made the Modern World by Niall Ferguson
The Proviso (Tales of Dunham
The Zoo: An Allegorical Adventure by Stephen Black
Feardom: How Politicians Exploit Your Emotions and What You Can Do to Stop Them by Connor Boyack
Two Tyrants by A.G. Roderick
The TSA vs. the People: A Short Story of Vengeance by Robert W. McGee
Justifiable Homicide: A Political Thriller by Robert W. McGee
The Pact
(Dining Out Around The Solar System
(Dark Ages #1) by J.D. Dutra
Government Ruins Nearly Everything: Reclaiming Social Issues from Uncivil Servants by Laura Carno
Speculator
(Mr. Men
(Tales of Dunham
Dining Out Around The Solar System
(Firestar
The Best Congress Money Can Buy: Stories of Political Possibility by Oren Litwin
Stay
Omnipotent Government by Ludwig von Mises
Holidays in Hell: In Which Our Intrepid Reporter Travels to the World’s Worst Places and Asks
The War on the Bill of Rights — and the Gathering Resistance by Nat Hentoff
Dunham
The Logic Of The Law by Gordon Tullock
Narrative of the Life of Frederick Douglass by Frederick Douglass
Harrison Bergeron by Kurt Vonnegut Jr.
Explaining Postmodernism: Skepticism and Socialism from Rousseau to Foucault by Stephen R.C. Hicks
Rendering Unto Caesar: Was Jesus a Socialist? by Lawrence Reed
Blowback: The Costs and Consequences of American Empire by Chalmers Johnson
Mad about Trade: Why Main Street America Should Embrace Globalization by Daniel T. Griswold
Mediating Dangerously: The Frontiers of Conflict Resolution by Kenneth Cloke
The Price of Thirst: Global Water Inequality and the Coming Chaos by Karen Piper
Losing Ground: American Social Policy
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(Freehold #1) by Michael Z. Williamson
Why It’s Kicking Off Everywhere: The New Global Revolutions by Paul Mason
Web of Debt by Ellen Hodgson Brown
Noble Vision by Gen LaGreca
Julian Assange — The Unauthorised Autobiography by Julian Assange
The Thomas Sowell Reader by Thomas Sowell
In Pursuit : Of Happiness and Good Government by Charles Murray
State of Fear by Michael Crichton
The Giants Novels
Philosophy: Who Needs It by Ayn Rand
The Open Society and Its Enemies — Volume Two: Hegel and Marx by Karl R. Popper
A Tale of the Wind: A Novel of 19Th-Century France by Kay Nolte Smith
Red Square
The Birth of the Modern: World Society 1815–1830 by Paul Johnson
We the People: The Economic Origins of the Constitution by Forrest McDonald
The Spirit of the Laws by Montesquieu
Ethnic America: A History by Thomas Sowell
The Wealth of Nations by Adam Smith
Essays
(French Revolution
(Not) Getting By in America by Barbara Ehrenreich
The Tipping Point: How Little Things Can Make a Big Difference by Malcolm Gladwell
Time Will Run Back: A Novel About the Rediscovery of Capitalism by Henry Hazlitt
Breaking Free: True Stories of Girls Who Escaped Modern Slavery by Abby Sher
The Economics and Ethics of Private Property: Studies in Political Economy and Philosophy by Hans-Hermann Hoppe
Organizational Culture for Successful Democracy: Participatory Nonprofits That Advance Their Missions
The Red Book: The Hanrahan Case Against Merck
A Theory of Socialism and Capitalism: Economics
From Aristocracy to Monarchy to Democracy: A Tale of Moral and Economic Folly and Decay by Hans-Hermann Hoppe
The Case Against the Fed by Murray N. Rothbard
Their Eyes Were Watching God by Zora Neale Hurston
The Legacy of Gird Omnibus: Surrender None/Liar’s Oath by Elizabeth Moon
Egalitarianism as a Revolt Against Nature
Free Market Reader: Essays in the Economics of Liberty by Llewellyn H. Rockwell Jr.
Realtime Interrupt by James P. Hogan
The Libertarian Idea by Jan Narveson
Persons (book)
Freedom and Federalism by Felix Morley
Government by Judiciary: The Transformation of the Fourteenth Amendment by Raoul Berger
All Things Are Lights by Robert Shea
The Fourteenth Amendment and the Bill of Rights by Raoul Berger
Venetian Song by Kay Nolte Smith
Federalism: The Founders’ Design by Raoul Berger
The Enterprise of Law: Justice Without the State by Bruce L. Benson
Capitalism by George Reisman
Alongside Night by J. Neil Schulman
Wizard’s First Rule
The Lanague Chronicles by F. Paul Wilson
The Gallatin Divergence (North American Confederacy #6) by L. Neil Smith
True Names… and Other Dangers by Vernor Vinge
The Man Versus the State by Herbert Spencer
Across Realtime by Vernor Vinge
God of the Machine by Isabel Paterson
The Discovery of Freedom: Man’s Struggle Against Authority by Rose Wilder Lane
The Rainbow Cadenza: A Novel In Vistata Form by J. Neil Schulman
On Liberty — John Stuart Mill by David Gordon
The Fuzzy Papers
Fight Club by Chuck Palahniuk
Anarcho-Capitalism: An Annotated Bibliography by Hans-Hermann Hoppe
First Cycle by H. Beam Piper
The Capitalist Manifesto: The Historic
Libertarianism: A Primer by David Boaz
Ambrov Keon by Jean Lorrah
Rationalism (book)
Beggars in Spain (Sleepless
Markets without Limits: Moral Virtues and Commercial Interests by Jason Brennan
America’s Great Depression by Murray N. Rothbard
The Eternal Criminal Record by James B. Jacobs
The Almost Nearly Perfect People: Behind the Myth of the Scandinavian Utopia by Michael Booth
So You’ve Been Publicly Shamed by Jon Ronson
Free Market Environmentalism for the Next Generation by Terry L. Anderson
Underground Passages: Anarchist Resistance Culture
Intellectual Privacy: Rethinking Civil Liberties in the Digital Age by Neil Richards
Libertarian Philosophy in the Real World: The Politics of Natural Rights by Mark D. Friedman
The Utopia of Rules: On Technology
Foragers
The Industrial Revolution 1760–1830 by Thomas S. Ashton
The Logic of Scientific Discovery by Karl R. Popper
The Economy of Cities by Jane Jacobs
Studies in Philosophy
Robust Political Economy: Classical Liberalism and the Future of Public Policy (New Thinking in Political Economy Series) by Mark Pennington
Norms of Liberty: A Perfectionist Basis for Non-Perfectionist Politics by Douglas B. Rasmussen
The Use of Knowledge in Society by Friedrich A. Hayek
The Sphere and Duties of Government by Wilhelm Freiherr von Humboldt
Progress and Poverty by Henry George
The Ethics And Economics Of The Basic Income Guarantee by Karl Widerquist
Alaska’s Permanent Fund Dividend: Examining its Suitability as a Model by Karl Widerquist
The Vision Of Ayn Rand: The Basic Principles Of Objectivism by Nathaniel Branden
The Market for Liberty by Morris Tannehill
Applied Economics: Thinking Beyond Stage One by Thomas Sowell