No MMX anime per se, but I've heard there is a manga in Japan... Yet, the MMX remake on PSP does feature a prequel anime segment about the day Sigma went Maverick which is pretty damn awesome. Youtube it if you get the chance.

Street Fighter anime tends o be pretty good, the actual anime Street Fighter movie is really well done and was the basis for the Alpha series. The actual SF: Alpha movie on the other hand is pretty awful. Street Fighter V was a pretty nice adaption of the franchise as well, and actually gave some good screen time for most of the roster. The Fatal Fury movies are pretty good too, unless you hate the Bogard Bros. , Mai, and Joe Higashi.

The original Sonic anime from the 90s was pretty good too, and I feel it properly portrayed the character better than most of the other shows, games, and comics have done (not that the comics are bad though...). The film is based off partially from Sonic CD but Knuckles makes a quick cameo as well.

I've yet to watch the Arc the Lad anime, though fortunately for everyone it seems to be based on the far superior Arc the Lad 2. There is a Wild ARMS anime but its an original work that is just based on the series mythos. Oddly enough, I've never gotten past the first episode of FF Unlimited, and really don't have much interest in fixing this. FFV: Legend of the Crystals is amusing but suffers from some budget issues and a whole mess of other problems.

I don't like Tekken so I've never bothered to watch the anime OVA. The extent of my experience with the Virtua Fighter anime was a dubbing panel I participated on a few years back, but I don't remember much beyond that. I somehow missed the Disgaea anime, I should rectify that... I've also been meaning to watch the Battle Arena Toshiden anime cause I have a soft spot for that series. I heard their is a TV series based off Shin Megami Tensei DemiKids but that would mean its just a Pokemon/Digimon knockoff. Speaking of which, Pokemon itself was fun in the first season as you played along but quickly grew incredibly grating, Digimon is apparently based off a Tamagotchi type game in Japan. Tamagotchi itself got its own anime but it never saw release outside of Japan.

As for series I'd like to see: Suikoden would be pretty damn impressive, especially if they got Studio Gonzo to do it cause they did an awesome job with the opening to Suikoden III.

The Breath of Fire series would be nice as well. I'm actually shocked that P4 got the anime treatment before P3 did. Gitaroo Man would be an awesome anime. Much like Suikoden, if it was done in they style of the cutscenes from WotL I would love a FFTactics OVA series.