That's right, there are hundreds of Amiga games that support 2-button controllers, you just have to check each one and see if it has the option. Also, many WHDLoad games contain patches to remap keys to buttons on your control pad, so you can even try Ruff 'n' Tumble with a jump button at last. You may need to enable these options in the Icon Tooltypes.
I'm starting a list of all Amiga games that support more than 1 button, so everyone can see how many games support 2-button and CD32 controllers. If you wouldn't mind, do you think you could take note of the games you discovered to work with the 2-button pad? Anyone is welcome to add to the list, and I guess I'll write it up in a new thread so it will be easy to find in the future.
I'm glad you got the A1200 working properly now, just remember about the MaxTransfer settings for the next CF card you format for the Amiga. I've done it at least ten times here so I've got the process down-pat now. That setting 0x1FE00 is the magic code!