How much RAM do you have? My A600 has 32mb so I'm not sure I would have encountered this trouble anyway but I don't use igame, it's nice but takes forever to start. Super slow on ECS if you want the nice screenshots too. Better on A1200 but maybe it has other resource problems too. Holding a database of all available games and stats for them in memory for example.
Try the alternatives included in classicWB like the games commodity and my favorite is Zetros AG-launch. It's intended for low memory usage and is just a fancy amigaguide document, very fast. See if you have the same trouble with those.