Thankfully, the major video streaming sites make apps for iOS devices and Flash isn't used. The apps are pretty good. They really only have to do a couple of things. Browse for videos, organize your list, and stream. They may lack a feature or two, but overall they are good. If there's an equivalent Android app, I wouldn't think the experience would be much different - don't know, I don't own one. I don't know if they're Flash free either. I would think they'd be Flash free to help the users save battery life.
I get more Flash updates for security patches than any other software on my iMac. Not a good sign. The only bad thing about the Adobe Flash update site tips that the design is somewhat simple and has been copied to the point where identifying a counterfeit is very hard. I go into a state of terror every time I see one of the "a Flash update is available" messages come up.