Call of Duty United Offensive. It was CoD at its peak: huge, amazing maps with as much as 64 players at a time on dozens of dedicated servers, a solid list of weapons to choose from, the only CoD to do vehicles well, and it allowed the players to play with the only bullshit being the setting up of punk buster. CoD is so bloated by fluff that I hardly recognize it anymore. There was no idiotic weapon unlocks that forced you to play with their handfull of weapons until you played for X amount of time. You had them all, and that was it. No UAVs or red dots on the map, you had to use your wits to find enemies. No grenade indicators, no damage indicators, no stupid perks. Just you, a gun, and people to shoot.
As for consoles, it would have to be Perfect Dark. It made Goldeneye into a finished product. It was the height of console FPS and shows just what a console FPS can be.