Hopefully at some point I'll improve FaceTime to include your own images and video.
Please follow https://trello.com/c/npncMSfS for progress.
I have added the ability to add custom images in FaceTime in v4.3.
Video however, not sure on how you would like this to be presented. Looped video?
Cool if you were able to add videos from your camera roll to face time
Would you want like a looping video?
YASSSSSS LOOPING VIDEO
I do hope to bring videos to FaceTime and Snapchat at some point soon.
Customer support service by UserEcho