I can't help you much with disk games, sorry, but once you get your A1200 it's going to be a piece of cake downloading all your favourites and playing them. It's so easy these days because of these wonderful little PCMCIA-Compact Flash adapters. Harvey Norman has them for $15, and you can get CF cards just about anywhere, and they're cheap. I think I paid $12 for a 1GB CF card. Then you just get a USB card reader for $5-10, download all the WHDLoad games you want and extract them onto the CF card from the PC, then slot it into the side of your A1200 (or A600 if you have one of those), make sure the CF driver is installed (not hard to do), as well as WHDLoad (also not hard to do, but I recommend registering it), and you'll have years of endless gaming at your fingertips.
This is what I've done with my old A1200, and it's really brought it back to life. Plus there are still new games being made for the Amiga (I'm making one myself) so you can always look forward to those too. I'm in Northern NSW, so I can't show you how to do it, but if you can get to Ballarat in December you could go to the Retro Gaming convention and there will be a few Amiga tech guys there who'd love to help out a born-again Amigan.