My wife, kids and I were approached by a worker at Animal Kindom asking if we wanted to ride a float in the parade. So everyone thought we were some kind of celebrities and were taking pictures of like crazy.
We are a Disney family, though not what I would consider "cultish" (edit: after re-reading what I wrote, maybe we are?). I've discussed it on these sites before that my wife and daughter have celiac. We've determined that there is no better family vacation spot when it come to dining with a kid with celiac. In my mid fifties and I would guess I've been to the various parks 25+ times over the years. In laws live in FL and it's easy to get to when visiting, so we'll go for a long weekend, etc.
My daughter was selected to recite the Pledge of Allegiance at Magic Kingdom a few years back. It was prety exciting for her(and us). We were not previously aware that ever day they lower the flag at the same time. They select a randon (obviously American) kid to recite the pledge. We just happened to be walking by. It was quite a spectacle.
I'm an EPCOT fan, myself. I enjoy taking the beers around the world tour. Mission Space has to be one of the all time best adventure rides in the world.
There are really a lot of hidden gems on the properties. My wife is really good at finding interesting things. For example, I highly recommend dining at Animal Kingdom Lodge if you get the chance. Or for little kids, Tri-Circle D ranch in Fort Wilderness was cool. Probably one of my daughter's favorite childhood memories was a private tour of the stable for Cinderalla's horse. Big deal for a 6 year old.