react-native-video play Vimeo and YouTube

react-native-video will work with Vimeo, if you subscribe to Vimeo Pro.

Vimeo Pro offers the ability to use your video own third party player, which lets you get the url for your video in 360p, 540p, 720p, or 1080p specifically or as an HTTP Live Streaming url which can choose the correct resolution/bitrate for the user's connection. react-native-video work with any of these formats!

I know a github project which is a Youtube component for react-native. Check it out, maybe it can help you ;)

Here you have an other project for Vimeo videos