The best First Person Shooter

[Plectrum61]

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Battlefield 3
Bioshock Infinite

Infinite's combat isn't very good.

What makes you think that? (Just interested in someonelse his opinion )

...Plus I'm also going for BF4, since I hear it's good

Me too. Did you see the multiplayer trailer (I thought E3 gameplay)? Looks very amazing!

Another game that could be good is Titanfall. It isn't released yet but the things I've read about it looked positive and very promising.

Maybe you should try The Division aswell. It is a third person shooter however and it isn't released yet, but it looks very good.
It's about an apocalyptic New York (I thought) which is now territory of dangerous bandits doing everything to survive. The thing that makes this game so interesting, is that it's an open world RPG thirdperson shooter and it's online! You can team up with others and search for ammo or other items, explore the map, complete missions, earn skillpoints and fight against other groups. You really should watch the gameplay trailer if you have the time.