For your 60s party theme, here is a game idea that can be altered to fit the 60s party theme.
Check out 60s
Party Games for more free party games. Peace man, long hair hippies and the peace symbol are a must at a 60's theme party.
PEOPLE DON'T DANCE WITH HATS ON: One of the participants is given a hat. As everyone is dancing, this participant puts the hat on a gentleman's head who is dancing and says, "people don't dance with the hat on" and begins to dance with the partner of this gentleman. The gentleman with the hat moves to any other pair and put the hat on the gentleman's head so that he now dances with a new partner and that gentlemen must find a new partner etc.