It really depends on the girl, what I did with one isn't necessarily what I did with another. I might meet a girl who's really into music and spend a lot of time hitting up random concerts to discover new music, with some we enjoyed outdoor activities (canoeing, hunting, fishing, hiking) while still others tended to be home bodies and loved just curling up on the sofa and watching tv/movies.
A few years ago I had a "girlfriend", I use quotations because I didn't even know her last name, who for some reason or another I only spent time with getting messed up and stumbling around the city until dawn looking for stuff to do. I did have a blast though, there was something incredibly romantic about downing a few bottles of jack with a hot girl, taking her hand and just getting lost amongst the city lights. It almost always resulted in some kind of memorable adventure be it stumbling into a new bar/club, meeting a crazy cabbie, finding a new park or just meeting odd nighttime city people. I miss doing that.
I also have to echo what the above posters said about taking random drives. I used to do that with so many girls I was with. Get up, hop in the car with a case of beer, a book of cd's, a sleeping and just drive. We'd drive around until it got to dark to see anything and if lucky enough to stumble onto some secluded lake or stream on some old logging road we'd just snuggle up in the sleeping bag and spend the night. Great way to spend a weekend.
