No they aren't playing 24/7 in the big theaters. ON the eastern just last week, they would show about 3-4 movies a day in the Buena Vista Theater, and maybe 4-6 on the funnelvision TV on deck. We also had the Avengers playing in the Walt Disney Theater one night in 3D, and we were there for the premEAR of Brave at 12:01 in 3D on the ship (IT WAS AWESOME!!!!).
As for TV, there are on demand movies playing all the time....we whenever you demand them. They have every 2D Disney movie, PIXAR films, Disney Studios movies, latest hollywood movie releases (Like we watched Mission Impossible 4, the Vow, etc)
HTH you.