Gameboy and GBA you can use the gb player on Gamecube. :trollface:
If you really wanted to though there is this TV out thing they made a long time ago that's pretty rare now. Another thing that was made I think was called the Miracle Ray, he connected a psone screen to his GBA; to make a home console would essentially be the same thing. It's been mentioned many times here on the site so search that for more info. You'll get much better results with the Gamecube gb player though so I don't really see the point but a lot of things here are like that so whatever.
Gamegear you can use the gg tv out thing loveablechevy used in her gg/sms portable. She had a lot of information on it so search her posts.
Nothing you can do with the Lynx as far as I've seen.
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