Space and Rocket Center is a definite must see.
There’s the nature trail on Green Mountain, nothing fancy but it’s a nice walk. There’re plenty of trails in Monte Sano State Park too.
Then there’s a kid’s museum called Early Works and a Train Museum. I’ve never been to either one but I hear they are worthwhile.
There’s also a military history museum that’s only open on Fridays and Saturdays. They have a few tanks and some other stuff, it’s worth seeing. It’s just off Airport Road (Where the old Airport used to be, nowhere near the new Airport.) next to the old police academy and behind the Marine Corps Reserve building.
Of course there’s the usual assortment of malls, theaters, and such. Feeding the ducks downtown wouldn’t be a bad way to spend the afternoon with kids either.
Oh, there’s also Larry’s Pistol and Pawn. It’s a pretty good gun store Its on Memorial Parkway a couple miles north of University Drive.