EDIT: Just the Care Bears tape is available now.
Free if you pay shipping:
My Little Pony: The Movie VHS tape (official) - CLAIMED
Care Bears The Movie VHS tape (official)
MLP tape (not official, recorded from TV) - CLAIMED
Please note: I do not have a VHS player, so I don't know the quality of the tapes or if they even work anymore. But hey, free.