Here are some Facebook apps for YouTube
Involver YouTube App For Pages to create a YouTube channel as a tab on your page.
North Social Video Channel (AKA – Video Premier)- Same as above but with some social features.
YouTube Video Box to send videos to all your fans
YouTube Tab Channel & Playlists- 48 videos on a playlist
YouTube Channels- Synchronize your channel
North Social Video Player- Display a large single player