My cat has a serious hatred for closed doors. Our bedroom door was installed improperly, and so she can open it even when its locked! On the other had, our roommate's bedroom door actually works, so when Jane can't get it open, she sits outside and cries. It usually works, so I suppose that technically counts as opening a door. :p She uses the same technique for getting the bathroom door open. Even two minutes of closed door for private bathroom time is too much for Jane.
In the past, she has always opened doors buy putting her paw underneath the door and pulling. But the other day, I caught her playing with the doorknob! I think she's sick of there being doors in the house that she can't open. It was unnervingly clever. I feel like it's only a matter of time now until she takes over the world.