Lots to do in and around Yellowstone
Yellowstone Association has various backcountry trips , field seminars etc.
http://yellowstoneassociation.org
Buffalo Bill Museum in Cody Wy - Ne corner of Yellowstone.
Fishing Licenses in Yellowstone are very reasonable - Get a Flyfishing book by Bruce Staples - you'll find lots of places to go fish.
Alpine slide at Snow King Resort
Tram at Teton Village.
There are both ballon rides and glider rides over the Tetons - I think they are based near Taghee on the Idaho Side.
We like the horse or stagecoach ride and dinner based out of Roosevelt area in the park.
Typical Yellowstone: Grand Canyon of the Yellowstone, Old Faithful, Yellowstone Lake, Mammoth hot springs, and the geyser basin. Lots of day hikes and lots of wildlife.
West Yellowstone /Island Park: Fall River, Bechler Medow - great fishing; Wam springs and big springs - lots of fish but no fishing. Upper & lower mesa falls, Sawtelle Peak, Harriman state park - Trumpeter swans & great fishing, crater lake. The Imaxx, Grizley/wolf discovery center & yellowstone museum in West Yellowstone.
A great float trip is from Island Park resevoir to Harriman state park. You would need to find a commercial trip or guide - the canoe rental places won't let you take the canoes downstream from pond's lodge. There is an area called box canyon - great fun but you need someone with experience to navigate that portion of the river.
In Jackson - eat at the New York sub shop (across the street from Towncenter JH timeshare) and the Cowboy bar. If you get to Idaho Falls - try Plum Loco.
Also great backback trip: From Bechler meadows ranger station to Old Faithful. This is from the sw corner of the park into old faithful. I forget how many days it took - I want to say 4-5 but we did it BK and our oldest is 19 so it was probably 23-24 years ago.