Yes, there are many 8-bit Nintendo console versions of Tetris.

Famicom Tetris by BPS (not the same as the Nintendo versions, only released in Japan. Similar mechanics to Microsoft's Windows Entertainment Pack version, you can't make the block fall faster, only can make it immediately drop to the bottom. Also, it only contains the mode known as Mode B in the Nintendo version.)
NES Tetris by BPS/Nintendo (not released in Japan. MAYBE the SNES version was released on Nintendo Power flash carts. Or maybe only Dr. Mario was released standalone. But the combo cart version definitely wasn't released in Japan.)
Game Boy Tetris (released internationally)
Tengen Tetris (released only in US. And maybe on the VS. arcade system.)
Tetris 2+BomBliss (released only in Japan. Contains a Tetris mode very much like the Nintendo version, except it allows 2 players. Not the same as Tetris Flash.)
Tetris Flash (known as Tetris 2 outside Japan)
Tetris Blast (Game Boy, Bombliss only. Known as Super Bombliss in Japan.)
Never played the other versions:
Tetris DX (Game Boy Color)
Magical Tetris Challenge (Game Boy Color)
Tetris Plus (Game Boy)