Continuity mistake: When the Care Bears boat begins to be pulled into the whirlpool, made by the evil spirit fish, one of the bears grabs a rope and sends a special star into the sky to help them, attached to the rope. The bear then picks the end of the rope up, and begins to tie it to the mast. In the next shot you can see the end of the rope still laying on the floor again, unattatched to the mast, the in the next shot it's back on the mast again.
Continuity mistake: During "Home is in the Heart" after we meet the Care Bear Cousins we see everyone weaving yellow and red ribbons around a pole. Then the camera cuts to a more distant view of them sliding down some clouds away from the finished pole. The trouble is, the yellow and red color scheme we saw on the pole a minute ago is now a multi-colored rainbow scheme.
Continuity mistake: When Kim and Jason first arrive in Care-A-Lot and they are still standing on the rainbow rescue platform, with Secret Bear and Friendship Bear. One shot shows Sunshine Bear standing next to Jason, instead of Friendship Bear, then in the very next shot Sunshine Bear is now right in front of Jason, talking to him.