RetroGaming

Rayman and Sonic are some interesting case studies for this type of thing.

Sonic started with 2d when it was at its original peak(SNES.genesis) then dived into 3d in its peak with the Saturn and Dreamcast and ps2 Gamecube, Xbox. and now with the switch Sonic dived back into 2d with games like Sonic mania, and some mobile games, wile still delivering 3d. Sonic has a lot of boht 3d and 2d games from that ip.

Rayman is similarly interesting but what is interesting about it particularly was the first game was 2d but was (for 2d game standards) made for more modern hardware, the ps1/ Atari Jaguar. In the case of Rayman, hardware limitations weren't as much of an issue you can actually view the 2d genre as a genre. Then it dived into 3d with the second and third game. but then interestingly, for their ps3/Xbox 360 and Wii/wii u. Rayman games they again made a 2d game for modern hardware. You could play 2d for the genre itself not strictly because of hardware limitations. Rayman is probally one of the better games to fairly compare 2d and 3d games in the same IP.

Both of these are platformers however. not fighting games or others particularly.