A lot! We have a massive DVD collection, and we generally only watch DVDs rather than broadcast stuff. They are 6 and 8.
Lots of Disney/Pixar, Studio Ghibli, Dreamworks, and a few French animations (King and the Mockingbird, and Ernest and Celestine are awesome). They are starting to get into live action ones, so Harry Potters (only 1-3), Percy Jackson, National Treasures.
In terms of episode type DVDs, Fawlty Towers, and a lot of older cartoons Dangermouse, Trapdoor, Dungeons and Dragons, Transformers, Pink Panther, Looney Tunes... and they're majorly into Ben and Holly (don't blame them, it's so funny!). Yesterday I chose to watch the Avatar cartoons (the last airbender, nothing to do with those blue people on Pandora) - DD was all "ohhh I remember that it's so BORING" but by 5 minutes in they were both hooked :o
I swear we do have a life outside of watching DVDs! 