The Bell Fibe app and Crave are 2 different services. Bell Fibe actually had a TV ad that said you could watch your recorded programs anywhere in the world.
Re movies - Here is U.S. article that shows the number of movies available on more than one service. Keep in mind that Canadian rights are different. For example in the U.S. Terminator:Genisys
only streams on FX Now. www.justwatch.com
is a handy site to find streaming content.