Are there people that can recommend me obscure and semi-obscure early late 90's 00's fighting games?
Let's see... I'll try to name some anime and anime adjacent stuff
The Queen of Heart '99
French Bread before they were French Bread and I think this was their best output of their Watanabe Seisakujo years. (although I haven't tried QOH 2001 yet)
Asuka 120% LimitOver Burning Fest.

Being an unofficial but kinda official update from the developers (long story), this version only has versus mode. So if you want to play Story Mode I would advise you to pick up the unmodded version which is "Asuka 120% Limited Burning Fest."
Groove on Fight

Being the Power Instinct series' 3rd entry Groove on Fight is an extremely underrated 2v2 fighting game, you could say it's like the Garou: Mark of the Wolves of the Power Instinct series in a way.
Eternal Fighter Zero
A fighting game with Visual Novels girls as the cast, you can tell the developers were big fans of games like Guilty Gear and KOF when you play this game. This one is for the people who like fast movement and anime girls.
Samurai Deeper Kyo
Based on the manga series of the same name. Unlike other samurai fighting games, Samurai Deeper Kyo's gameplay is very aggressive and mix-up heavy. It's a 1v1 game that has assists and the control scheme is pretty unique.
Power Instinct Matrimelee
What is this? Another Power Instinct game?! Yes, another Power Instinct game. This game is basically the most grounded one when it comes to gameplay out of the ones I listed, but don't let that fool you because this game is weird and delightful as hell.