When I was much younger, I was lucky to have some fighting games alongside my first steps into the world of videogames.
To be more precise, it was Ultimate Mortal Kombat 3 (Mega Drive), Tekken 3 (PlayStation), Mortal Kombat Trilogy, Mortal Kombat 4 and Virtua Fighter 2 (PC).
Later I had times focused on "core" PC genres instead, though perhaps I discovered M.U.G.E.N. around that time. And even more later I returned again to console games and dived deeper into emulation (hello, arcade games) and of course expanded my familiarity with fighting genre.
I'd need to remind myself plenty of titles that I liked or found amusing in possible future replies to this thread. Nowodays I'd say I like the most SNK's and Sega's fighting franchises, but also enjoy things from Namco, Capcom, Tecmo, French Bread and others.