Doing an activity is third date (or later) territory. They're more of an investment, and the girl has to prove to me she's a worthwhile investment (of my time and my emotions but also my money). First I'm going to sit down and actually get to know the girl, I would need at least half (preferably 75-100%) of our political views, religious views, world view, etc to line up. If they don't then it's not going to be worthwhile for either of us.
As an example (and this is a real world example because I had a coffee date with a girl like this last December), I'm not going to date a girl who's right-wing (nor would I necessarily date a girl who's left-wing), ignorant, materialistic, spoiled, and/or has an over-inflated ego. I sat down with this girl over coffee and quickly learned she was all of these things. We were courteous and polite with each other, but when the date was over my mind was made up then and there that I would not be pursuing a second one.
If I there's a mutual attraction and things progress beyond first and second dates, then I'll take her to some of the shows featuring local bands, we can go on hikes (there are three national parks in the area), in the summer we might go floating down the river or boating on the lake, in the winter we could go to the Christmas Preview held the weekend before Thanksgiving, we can go look at the Christmas lights displays around town during the holiday season. If we're actually in a relationship then things go even further into day trip and overnight trips, maybe to San Francisco, Bodega Bay, Mendocino, Shasta, Mt. Lassen, etc.
So the possibilities are broad, but they're special and expensive opportunities not to be squandered on a girl who I might not see again after the first date.