We have around 50 video tapes, though we got rid of quite a chunk of them (probably 100) when we no longer had a video player that worked without eating the tape...
And around 200 DVDs. I've only recently started my OWN collection of DVDs, for when I move out, of which I have 17.
We don't buy movies much anymore. The number won't grow much since most of my film-watching is done in theater or through Netflix or digital downloads or xBox or whatever. I still like DVDs, so I'll buy them from time to time, but my parents don't buy them anymore.
Agony, we're also that family with tons of books; with over 1200 now, we have built-in bookshelves my dad build all along the basement walls.
And 300 CDs. And 250 board games. And over 200 various video games.