I had to vote for RE4 but I feel like its influence is overplayed here. In terms of camera placement it set the bar for TPS games, but the actual gunplay feels nothing like the modern cover based shooters that it apparently inspired. RE4 is about precision aiming as you're planted in place, waiting till the last possible second to run away, reload, or bust out a melee move, whereas the Gears/Uncharted evolution path is about running from cover to cover.
It reminds me of Goldeneye in a way. Its mission structure and objectives are extremely influential, but as for the actual control scheme of holding a button to aim the reticle, it kind of met an evolutionary dead end there.