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.
I am now in us. I think you can stream Crave, just like CP24, CBC, CTV, Etc. I tested Crave on web browser, go to crave.ca, login via service provider (Rogers in my case) and created a user profile, but since I did not subscribe to Crave, I cannot go on to watch anything.