You say most influencial
hmmh
I guess Super Mario Bros. WoW, League of Legends, Call of Duty, Grand Theft Auto, Zelda, Quake
This are the only games at the top of my head that started a trend of spawning dozens of games with the same mindshare because they were so sucessfull and/or critical acclaimed = influencial
I mean yes something like pokemon is one of the biggest franchises (but not only because of the games tbh.) but it started not a myriad of "mon" games, at least i dont remember it that way, like the other examples i mentioned.