Make television and movies like music with compulsory licensing? Say anything five years and older gets put into the pool of things that can be broadcast/streamed as part of your service as long as you pay the base royalties. Have the same sort of setup as music does but with a much finer grained reporting. That way everyone that should get paid, is paid.
While five years seems a bit long, that's so streaming and rebroadcast doesn't cut too deeply into the DVD/BluRay sales. That should be plenty of time for that to go through the fans that really want their personal copy at release or to wait for the price to fall or discounted.
And this doesn't stop anyone from making separate deals to get it before the five year date and/or add extras to their service like trivia, blooper reels, and so forth.
Again, the point of copyright was to give people a chance to spread culture around before it is outright given away. Seeing as how locked up it's become, anything that speeds and ease of dissemination is a good thing.