1960: Kennedy
1964: Johnson
1968: Johnson
1972: Jackson
1976: Jackson
1980: Kennedy
1984: Mondale
1988: Dukakis
1992: Clinton
1996: Clinton
2000: Bradley
2004: Kerry
2008: Obama
Not bad, although I'd have voted for Carter in 1980 and '76 and McGovern in '72. Also, probably Robert Kennedy in 1968.
Anyway, my guess for you:
1960: Kennedy?
1964: (abstain)
1968: Eugene McCarthy
1972: George McGovern
1976: I genuinely have no idea.
1980: Um, Brown?
1984: George McGovern
1988: Paul Simon?
1992: Eugene McCarthy, who AFAIK ran one of those weird quixotic campaigns.
1996: LaRouche? Heh.
2000: ...Bradley?
2004: Dean, maybe. Just a guess.
2008: Gravel.