I notice somebody put other and didn't list it, so I'm curious what they were thinking about. I would truthfully include Nintendo 64 (which despite being a failure for Nintendo and sold only about a quarter of the systems of the SuperNes, it has some of the great all time games like Goldeneye, Zelda Ocarina of Time, Star Wars Rogue Squadron, Mario Kart 64, Super Mario 64, Paper Mario, the original Super Smash Brothers, Perfect Dark, etc... It just has nowhere near the volume of games as the SuperNes, Genesis, Playstation, Xbox, etc., but the quality per game may be the highest of any system ever created.), Neo Geo, 3DO, Sega Saturn, Atari Jaguar, Playstation 1 & 2, and original Xbox on the retro list, but the poll only allowed me to post from SuperNes on.
What's interesting is you can the evolution of people's tastes in games over time. You start off with the 1st Generation stuff like the Magnovox Odyssey and early Pong clones and if there is any "popular" genre it would be "sports" to the extent that they could handle anything. Then with the 2nd Generation of Atari 2600, Atari 5200, ntellivision, and Colecovision it was all about the "twitch" games and arcade ports, sure there were a small number of platformers, sports, puzzles and text or poorly sprited adventure games, but almost all were one screen and some quick action "hook". (BTW, I was shocked looking back at how much better the Colecovision was than its competitors especially the Atari 2600). Then the 3rd generation (NES, Sega Master System, Atari 7800 and Turbografx 16) were all over half platformers and most of the rest Shmups. The 4th generation (SuperNES, Sega Genesis, NeoGeo, and Pioneer Laser Active) for the most part (NeoGeo is a notable exception) continued the platforming obsession but more variety did start to show up. Then the 5th generation (Playstation, 3DO, Sega 32x, Sega Saturn, Nintendo 64 and Atari Jaguar) had early on a ton of full motion video quicktime games then settled down into a fair amount of first person shooters. Then the 6th generation (Playstation 2, Xbox, Sega Dreamcast and Gamecube) and on it has been nonstop first person shooters.