Ha! I remember seeing the Game.com in a store a looong time ago! I never bought it though. Back then, everything was related to .com, now everything has an i in front of it. In modern times, the game.com would be the iGame.
I have a Game.Com with an internet cart. I never could connect to the internet with it (I got it too late, after Tiger cancelled their service, and there was no local equivalent) but I used it frequently to connect to my local library's card catalog BBS.