I'm working on a silent pc right now, it's one hell of a costly thing to do. I guess it depends on how much noise you can tolerate.
Also remember if you want suggestions from me you'd have to build it yourself, it's super easy but people are often hesitant to try it.
Edit: For example here is the core of a quiet pc:

410.37 GBP = 1,039.03 BRL
And then you have the graphics card to worry about, this is something I'm still stuck at in my journey to a silent pc.
Haha that case you've selected is awesome, really user friendly to build in. Not 100% sure that it would have enough space for the DH-14 Though? I know my 120mm based CPU cooler only
just fits into my case (but it does have more space between the board and the fins than most coolers).
Anyway, I'm the opposite of Orthux, I've never built an AMD powered PC and I must admit I am a bit of an Intel fanboy.... I'll happily admit though that AMD has a variety of benefits and are in general better for those who have budget constraints and/or aren't worried about 'high-end' CPU performance (so games that are generally CPU intensive, such as GTA IV are more likely to benefit from an Intel CPU).
Zurvivor, probably the best bit of advice for you would be if you want to game (within a decent budget) you definitely don't want a laptop. Are you willing to try to build your PC yourself or would you need a shop to build it for you?
For that Budget I'd build something like:

A Couple of notes:
The OS can easily be swapped for a 64-Bit version if you'd prefer, if you're not sure whether you want a 32 or 64 bit OS then you could opt for the retail version which has both (but costs about 45 pounds more).
It's actually a similar spec level to my current computer (I have an older Intel core i5) and of the games on your list that I have played (BF2 and COD) it will easily play them on max graphics, the only games it might struggle with a Maximum DX11 graphics on Crysis 2 and Maximum Graphics on Metro 2033