GTA V is not as not as recognizable/rememberable as people seem to think. It will be forgotten soon. The Last of Us, however will remain in our minds a while longer for several reasons, mainly to do with plot and characters, but also because the cutscene/story parts actually acknowledges what is happening during the gameplay, unlike GTA V.
The world in GTA V doesn't react to the player killing 100 cops during a mission. If that happened in real life, you'd see cops driving around in tanks instead of cars pretty soon. In before "it's a game, the devs have to make a few shortcuts to make it fun". No, that won't cut it. If I want a game that's just a game for the sake of being fun I'll just play Mario Bros 3 which was released 25 years ago. Games like GTA which is trying its hardest to be a crime simulator should portray the life of a criminal in a more realistic light.
I'm mainly talking about the archaic, outdated, stupid and unrealistic shooting sequences of the game. The game doesn't need these sections, and it totally destroys the immersion when the protagonist can take 20 rounds to chest and kill 40 henchmen without breaking a sweat while bleeding from several bulletholes in the torso. Why am I blaming GTAV for this instead of the gazillion other generic shooters out there? Well, GTA V got a 97 metascore and sold like 30 million copies in a month. With great power comes great responsibility.
GTA V is a mighty fine game, but it does very little new with the story or the gameplay. San Andreas did all the same stuff in 2004, and will be remembered as the game that perfected the sandbox genre. GTA V can't be remembered for what its predecessor already did.