I too am disappointed about Filmstruck shutting down. That said, I'd like to politely remind everyone that their local public library is a wonderful resource for your AFI Top 100 needs. It helps if your library is part of a inter-library loan system, since my library is. I haven't had any issues loaning all of these titles.
Just a suggestion! You get all of the movies for free (legally!) and you support your library. You'll feel great about it in the end.
Unrelated: Vote on Tuesday!