it's sorta like conservative vs. neo-conservative. as a libertarian, I consider myself a classic liberal, not a neo-liberal.
(some wikipedia stuff)
Liberalism is an ideology, philosophical view, and political tradition which holds that liberty is the primary political value. Liberalism has its roots in the Western Age of Enlightenment, but the term has taken on different meanings in different time periods (for example now in the United States generally it means new liberalism while in the rest of the world has the meaning of classical liberalism). Broadly speaking, liberalism emphasizes individual rights. It seeks a society characterized by freedom of thought for individuals, limitations on power (especially of government and religion), the rule of law, the free exchange of ideas, a market economy that supports free private enterprise, and a transparent system of government in which the rights of all citizens are protected.
Social liberalism (also new liberalism, radical liberalism, modern liberalism, welfare liberalism) advocates a greater degree of government interference in the free market, often in the form of anti-discrimination laws, universal education, and progressive taxation. This philosophy frequently extends to a belief that the government should provide for a degree of general welfare, including benefits for the unemployed, housing for the homeless, and medical care for the sick. Such publicly-funded initiatives and interferences in the market are rejected by modern advocates of classical liberalism, which emphasizes free private enterprise, individual property rights and freedom of contract; classical liberals hold that economic inequality, as arising naturally from competition in the free market, does not justify the violation of private property rights.
Libertarianism usually refers to a political philosophy maintaining that every person is the absolute owner of his own life and should be free to do whatever he wishes with his person or property, as long as he respects the liberty of others.
Note on terminology: Some writers who have been called libertarians have also been referred to as classical liberals, by others or themselves. Also, some use the phrase "the freedom philosophy" to refer to libertarianism, classical liberalism. or both.