It’s really hard to know what games were most influential on subsequent RPG culture and design, partly because there’s also the influence on general culture. Was Call of Cthulhu more influential on horror games after, or is it more notable for its effect on general culture, which then produces a lot of RPGs riffing off the tropes (such as Cthulhutech)?
If I’m allowed to pick the RPGs that have affected general culture most to then feed back into RPG culture to influence a lot of games via films, TV, books, comics, video games, etc then I’d have to say the following:
1) Dungeons and Dragons. Pick whichever edition or version you prefer, but the whole decades-long juggernaut is clearly the most influential. It’s the one everyone’s heard of, that has affected cultural development on multiple continents (like fantasy JRPGs, manga, anime, manhwa etc), that is frequently mentioned in various famous properties and by various famous people (ET, Stranger Things, Riddick, Elon Musk, Vin Diesel etc), influenced thousands of fantasy books, films, video games and so on. For a certain genre of media, it defines fantasy. You may not like its influence but it is gigantic and undeniable.
2) Call of Cthulhu. Honestly, the main reason that the oeuvre of an otherwise obscure xenophobic writer from New England has stood the test of time (yes, Lovecraft would probably have still been well known to horror and pulp fans but honestly, about as well known generally as Clark Ashton Smith or C L Moore, so you’d be hard pressed to find one person in a hundred who’d heard of him). Not only is CoC now the most popular RPG in Japan and South Korea (especially with women) but like D&D it’s influenced thousands upon thousands of books, films, manga, video games etc. and its tropes are deeply ingrained into modern culture.
3) Vampire the Masquerade. This is a tough one because how much did Vampire ride the wave of goth culture, Anne Rice books, vampire films/songs, etc and how much did it cause or influence it in the 90s and after? There would have been Forever Knight, Buffy, Let the Right One In, Only Lovers Left Alive, etc without VtM, I’m sure. But it was deeply entwined, especially in fan culture, so I’m putting it there, if only in third place.