The short clips that you are seeing sound like the free trailers.
This tells us that when you downloaded these, possibly several days ago?, the download was working.
There are lots of download issues at the moment, since Friday, that are being actively worked by the team. Please give them a chance.
For some reason the full animations are NOT downloaded OR are NOT playing.
The full shows usually don't play until the whole card is downloaded.
So the next step is (as dc4bs) suggests to see what the download tab says. If you have automatically download full shows selected, they should have started. But did they end with an error? (One of the problems reported is that the same set downloads again and again and again and just reports error). If they have not started, then you can start it by pressing the check for updates button.
If they have downloaded and are still not running, trying looking in the models folder. Whats there?