Any Leopard-Compatible game will run on the blacbook
Its just a matter of how well the game is going to run. The most graphically impressive games will struggle on the blackbook, while some less graphically impressive games will run smoothly.
I run Sim City 4 on my 2.4GHz, 2GB ram, white macbook (same specs as your blackbook without the 250 GB HD)and it runs pretty good. That is a rather graphically impressive game and it runs good enough for me.