I'm not even sure how accurate these left and right labels are anymore. Traditionally:
Extreme-left = communism
Moderate-left = democratic socialism
Center-left = social democrat or social liberal
Center = liberalism
Center-right = conservatism
Moderate-right = nationalism
Extreme-right = fascism
Theoretically, Libertarianism and Green politics don't fit into this spectrum although the former is associated with the right and the latter with the left. I could consider myself a Liberal Green Libertarian - I'm center on foreign policy, center-left on social and environmental issues, and center-right on economic policy.
Left and right still work OK as strictly economic labels. My list would look like:
Extreme-left = communism/statism
Left = democratic socialism (something like what the French Socialists have historically pushed for and what Gorbachev allegedly wanted; it's difficult to give examples because it's never really been attemped for an extended period of time)
Center-left = social democrats
Center = agrarians/social liberals
Center-right = christian democrats
Right = conservatives
Extreme-right = classical liberals (only regarding economic policy; extreme is not meant as a pejorative in this instance)
Green parties can float anywhere from center to extreme-left, so they don't really fit well into that spectrum. I generally consider 'libertarians' to be classical liberals and socially moderate/conservative 'liberals' to be conservatives.
You need an x and y axis to measure economic and social values simultaneously. Something like this:
The social axis is generally where classical liberals clearly differentiate themselves from conservatives and social liberals/many greens differentiate themselves from center-left working class people who like the state for redistribution but are generally more socially conservative.
And I haven't seen it done much, but you really need three dimensions to incorporate foreign policy into a label. For example, there's currently a significant split on the American right between interventionists and isolationists even though many in both groups agree on most domestic policy questions.
For the record, I'm center-left, extremely socially liberal and a realist interventionist.