I do! I do!
And I love, love, love them. I've been showing Belgians at halter for years helping a friend who breeds them, and now I have some of my own I breed and show. We've also started to get into hitching a cart horse at the shows, as well. Showing draft horses at hitch and halter is a blast and I would recommend anyone who wants to get involved to hook up with someone already in the business. Draft horse people are great people and always willing to help and teach about the "big guys".
I have zero interest in riding, so I don't (would rather drive!). People do ride them and I'm sure they do as good as any other draft under saddle.
As for the breed... I cannot say enough good things about them in general...
Horses are individuals though, and you get all types of personalities in the draft horse world-- from "gentle giants" to the higher strung show horse.
I'd post pictures if I had the time to figure out how... Maybe another time
Just had to jump in here and put a plug in for my breed of choice... Thanks for the thread!