Ooh, ooh!
I just remembered X-15's. I even built a model of one. If you are doing some sort of report, google 'em. It is one of the more "obscurely famous" parts of the 60's that will almost certainly get you extra credit for even being aware of.
It was an interesting precursor to the space program. Since it's very first flight was in the summer of 1959, this is most definitely a 60's thing.
oooooo..remember Rat Fink????
And those models (like car models) of The Phantom of the Opera, Frankenstein and The Mummy!