Lisamarie2689: Hey guys,
I had the same issue tonight when I tried to launch the game after installation, the credits came up then the screen went black and I had to power off the laptop manually. I went to check Steam for the games as Steam can be slightly more reliable sometimes, and I found a link to a possible solution.
I can't seem to post the link here, but if you go onto Steam, Community and type in 'Abe's Oddysee' the topmost post should contain a link to the PC Gaming wiki which will then give you a link for the file you need to download. The actual file is called 'ddhack_abe' and should contain 'ddhack.cfg' and 'ddraw.dll' along with a readme for instructions.
I downloaded the file from the aforementioned link (safe I promise), copied the two files (.cfg and .dll) into the Abe's Oddysee folder and launched the game. The game opened perfectly, ran fine, the only thing I will mention that was a problem was when I tried to exit, the error message 'Oddworld has stopped working' pops up and everything seems to crash, but if you Ctrl+Alt+Del and open task manager you can just quit the game through that. It may be a little annoyance but I reckon it's better than not being able to run the game at all right?
Anyway, I hope this helps anyone else having the same problem as me!
Thank you! Now the game is working on Win7 64, Boot Camp, OS X Snow Leopard. =)