I like this thread! I've even picked up some things I didn't know about!
A couple of mine:
-Animal Kingdom Lodge offers several free programs that are really geared at adults and older children: They give a guided tour of the hotel's African art collection at 2 PM, a Culinary Tour of Africa at 4 (in which you get to meet the chefs at Jiko and Boma, and eat free samples! Great if you want to learn more about the food before you actually eat there), and a Cultural Safari at 9 PM led by an African cast member, who tells you about their homeland.
-Wilderness Lodge has a free tour Wednesdays-Sundays at 9 AM, that tells you how the hotel was built and a little about the architecture. Ranger Stan is a fountain of Disney knowledge!
-If you're a Walt Disney buff, go to the Iron Spike Room at the Wilderness Lodge villas. There, they have two train cars from Walt's personal backyard railroad.
-Get to the MK early, by 8:40 AM, to see the Opening Ceremony. This is not advertised in any of Disney's materials that I've seen--it is a very Disney way to start your day. Also, there are many Streetmosphere characters that wander around Main Street during the day--they are never advertised. One day the Mayor sat down right next to us at Casey's and started talking to us about how he was running for reelection. Many times you will run into the Dapper Dans, riding in the back of the first horse-drawn trolleys of the morning and serenading the passengers.
-Get a hot dog and listen to the ragtime pianist at Casey's Corner.