My little sister went through a phase of this when she was about 5 or 6. It lasted for years.
As a result, I now know most of Ice Age, Grease, Monsters Inc. and other films to the letter, because they were always on our TV. My only relief is that she's sick of them now, so I'll probably never have to watch them again unless I decide to.
For myself though, I don't have a lot of DVDs. My family as a whole does, but I only have about 15 or so that are my own. Because of this, I tend to watch the same films a lot: Inception, Scott Pilgrim and Watchmen are the ones I rewatch most. I'll probably watch Inception tonight.