It has both PS1 and PS2. If you get a 60GB PS3, you shouldn't have much of any problems with backwards compatibility. If you get a newer version that has EE removed (80GB), they have a list online of titles that tells you about issues for any title you may have.
I'm sure someone has the link. There's one for US and EU.
Threads of Interest:
The Movie Thread: http://www.vgchartz.com/forum/thread.php?id=6880
The Crow Eating Thread: http://www.vgchartz.com/forum/thread.php?start=0&id=3886
The Betting Thread: http://www.vgchartz.com/forum/thread.php?start=0&id=7104
Custom GIFs Thread: http://www.vgchartz.com/forum/thread.php?id=18963
The Greatest Game Ever Conceived On Any Platform
Tag: "I have tasted Obi-Wan's bitter tears"