Rival Schools for PS1 was great.
Virtua Fighter is the best 3D fighter in my opinion, you have to know your character to be successful.

Game that never caught my attention is Marvel vs Capcom. There's too much lighting and firework for me to concentrate on the game itself.

Capcom had a lot of great fighters before. They used to take a lot of chances and I loved their games. SF EX Plus Alpha, SF Ex 2 Plus and SF EX3. Tech Romance on the Dreamcast. Rival Schools was another game from them I loved.I played with everyone, including the clones on the evolution disc, but my main guys consisted of those below. Did you play Project Justice on the Dreamcast? Decent follow up to Rival Schools.

The last new full on 3D franchise I enjoyed was the Power Stone games. When KoF went 3D I wasn't exactly thrilled. Maybe it could have been done but the execution didnt resonate with me much. Capcom was making a fighting game called Capcom All Stars or something like that some years ago in the vein of power stone (or something along those lines), but it got canned apparently. I saw a pic of Ryu and I was instantly excited. Too bad it never materialized. I don't mind a full on 3D game but it has to be good. So far full on 3D have disappointed me, like Soul Calibur. Tekken and DOA I don't mind so much.

Control + F "Toshinden", nothing?

Guess it's up to me then.

My favourite fighting game of all time is Battle Arena Toshinden 3. My favourite fighting series of all time is Battle Arena Toshinden. Yes, even the horrible 4th game. Yes, I know they've aged horrifically.

I still just get a huge amount of enjoyment out of them, although admittedly about 50% of that is nostalgia.

I also love Tekken (my favourite entries being Tekken 3 & Tekken Tag Tournament).

Honourable mentions to some obscure stuff from the PS1 era - as already mentioned by someone, "Rival Schools" was great. I also had a large amount of fun playing "Evil Zone", as well as "Destrega", even though objectively they're both pretty poor games.

Street Fighter Ex (not the main series); Bloody Roar & Dead or Alive also get a cursory /tiphat from me.

My main girls

Maybe that is why there aren't any new full 3D fighters, unless the system works like those listed, it is unlikely to suceed. It's a big risk trying to break into a genre that is very well now set in it's routine. Blazblue is the newest fighter I can think that has entered the market and been successful but it's a traditional 2D fighter which has a market, 3D fighters don't have a market like 2D fighters do. Not in my opiniona anyway.

Didn't Tekken 6 sell well though? I know Namco is disappoointed with the sale of TTT2, but maybe that's part of a trend. SF X TK didn't sell as well as Capcom would have liked and I think Injustice was expected to do better too.  Or maybe it's like Resistance 3 after 2. Fans were burned after 2 and didn't try 3 as a result. 

For me, it was

1. Super Street Fighter IV
2. Killer Instint (Arcade)
3. Super Street FIghter II Turbo (Arcade)
4. Soul Calibur II (Gamecube)
5. Mortal Kombat II (Super Nes)

I have fond memories of Tekken 2, Soul Blade (goddam, I loved that game), Street Fighter Ex Plus Alpha, Marvel vs. Capcom 3, and Teenage Mutant Ninja Turtles Tournament Fighters. I used to be a fighting game fanatic, even playing such crap as Toshinden and Evil Zone as well as obscure games like Power Stone and Ehrgeiz: God Bless the Ring.

No love for Smash Bros., I'm afraid. I just can't get good at that game.

I don't just mean a new 3D game in an already existing genre, I mean a new franchise.  We have 4 3D fighters on the market? Yet we have unknown amount of FPS games. If Capcom or Namco ere to try and spend some time making  new one, I'd welcome it.

Tekken 3/5/6 TT2 . Very versatile roster with unique fighting style's. Character balance is a bit of an issue *Cough T5 Bryan & Nina* .

Soul Calibur series is great too especially SC 2 & 3.

Could Dissidia be considered a fighting game? If yes, then Dissidia is also there for me.