Super old topic, but to answer the original question:
TGM1 was ported to PS1, but never released.
TGM2+ was ported to PS2, but never released.
TGM3 was never brought up in the context of porting, after TGMA sold poorly.
TGM4 was location tested in arcades but never even saw an arcade release.
With TGM1/2/4, Arika put in like 90% of the effort to get a product to market, but fell through in the end. Considering shit like this and the PS2 Ketsui port it's a wonder they are profitable. Arika was unable to secure the rights to a console Tetris release. Depending on who you ask, this is more to do with either their inability to find a publisher, or the unwillingness of The Tetris Company (TTC) to license the brand towards non-guideline Tetris rules (they have super rigid standards and TGM follows different conventions) on a platform that would give it a wide audience.
When Tetris New Century came out (Sega rules, with an extra "New Century" guideline mode thrown in as the feature mode), Arika flipped their shit crying "double standard".
Tetris with Cardcaptor Sakura is a weird game btw. It is kind of a spiritual successor to Sega's Flashpoint, and aside from VS only has gameplay similar to the Sakura mode of TGM3.