Grammar GeekYou can, but the reader may be set with the expectation that you're telling him that Tom likes going to the movies more than the live theater
GG, Sorry but I don't see why omitting 'he does' changes the meaning of the sentence. Below is how I would parse the sentence without 'he does'. It's clear that we're comparing activities. Coudl you help me understand your thought?
These days, Tom likes (going to the movies more) than (playing on the computer).