Well, have your dad drop you off at the movie theater, then, get some cotton candy, then watch some Disney movie, then be home around 7ish.
Seriously, go get something little to eat then go out to a party or something. Just show her a fun time. Different things for different girls. If ya want it to be a one-on-one date, then bowling, movie, or rent a movie at your house. I'd say no to museum, maybe its just the kind of girls I like. The zoo is too much work too.