There were tons of fighting games prior to Tekken but Namco really drove the genre home with this franchise. This was started during a time when it seemed everyone was following Mortal Kombat and digitizing everything.
Then here comes Namco with a 3D fighting game that was fast, responsive, and had a variety of fighters that were actually interesting.
RE: Tekken Advance (2003) review and gameplay: A weird demake.