I've only stayed at POP (Jan '08) and All Star Music (June '01, June '05) so I can't comment on Movies or Sports but my vote goes for All Star Music, hands down.
Why? We like the theming better at ASMusic. We found POP to be somewhat run down and the room was a little dirtier than we would have liked.
ASMusic had outstanding cast members, our rooms there have been very clean, the up keep of the resort has been great, etc. When we stayed at ASMusic we had a dedicated bus. We found that these busses came more frequently than at POP. Additionally, ASMusic is a smaller resort, easier to get around, and more enjoyable to relax at.
In the end we had good experiences with both resorts.