I'd wait for the 965m or save some more money and buy a laptop with a good GPU ( 970m/980m).
The 860m is okay but it will only last you a few years if you're willing to lower the graphics settings and don't expect to run most newer games on ultra.
Fifa is no problem. Even with the 850m you'd get above 100fps (but I'd stay away from HP). But Battlefield and Far Cry are a lot more demanding. You can play them with a 850m/860m, but the framerate will be low.
Computer Games on Laptop Graphic Cards - NotebookCheck.net Tech
Games will get more and more demanding on hardware and if you can't run your games on ultra now you can't expect future games to run on higher settings. The laptop will last you a few years but only if you play the same or older games.
Edit: you can take a look at some MSI gaming laptops too. Asus and Gigabyte are good brands too for gaming laptops.
If you can wait a bit more and save up you could wait for laptops with the new Broadwell CPUs. They are very energy-efficient and should give you a longer battery life.
And if you can give up on the mobility you could build a nice desktop PC with even better specs for about the same price (but you would need to replace both the motherboard AND CPU if you want to upgrade your CPU because both Intel's 1150 socket and AMD's AM3+ socket won't be supported by the next generation of desktop CPUs, but even the current generation of CPUs will last you a couple more years).
Something like this will cost you ~$1000 (with rebates, without an OS) ->
http://pcpartpicker.com/p/qPhq99