It’s probably not controversial to say that the Dungeons & Dragons game from 1974 was the most important and influential game in the whole genealogy of all RPGs. Every game that followed was either an attempt to make a game that improves on D&D or make a game that is different from D&D. They were either a direct response to D&D, or expanded on a game system that was.
The real question is, what other games can be considered hugely influential on how people design game systems today?
You could argue that Chainmail <- clicking this link apparently force redirects to the armor, sorry about that. or Siege of Bodenburg were extremely influential in their own right.