Nintendo want their Cube to appeal to game-players aged 6 to 14 and say it's more a hi-tech luxury toy than "entertainment system".
It doesn't have a DVD player but concentrates on the serious business of gaming.
There will be 15 games to start with like Wave Race and Blue Storm, with more on sale in the summer.
The only Mario-related game on sale at the moment is Luigi's Mansion, a spooky, ghost-filled quest to find Luigi's missing brother Mario.
The GameCube is in competition with Sony Playstation 2 and Microsoft's Xbox, which went on sale in the US on Thursday. It costs $100 less than the Xbox at $199 (about £140), but it's not known what its UK price will be.
Get the spec on all the games consoles in our guide to the right of this story