Like PP said, all the pieces look good, its a build I'd be proud to put on my desk.
That being said, there are always ways to tweak it a little to squeeze out a little more performance for your Krone (plus it looks like you're over budget?).
In no particular order, here are some suggestions:
GPU: The GTX 570 performs nearly equivalent to the HD 7870, depending on the game you're playing, so better bang for the buck there.
I would personally get the MSI GTX 570 TFIII
and save ~300kr.
Case: Noise versus Cooling is really about personal preference and what people find loud, and if they want to overclock.
If your friend doesn't think you're computer is loud, get him a Corsair Carbide 400R or 500R, much better cooling than the R3 but should be a little bit louder.
PSU: Some people swear by Corsair, and they are great, but expensive when you consider other quality alternatives.
I'd get an XFX ProSeries XXX 750
, same efficiency and amps by another quality company, but 265kr less.
Cooler: If your friend is more concerned about noise a Noctua cooler is probably the way to go, and I'd probably get one anyway since their performance is great.
Noctua NH-C12P SE14
is only 40kr more, can't really go wrong with that.
SSD: From what I've read, in real-world performance you aren't going to see a huge difference between SATA III SSDs (maybe not even between II and III).
That being the case I'd go for the 120GB OCZ Agility 3
, saving more Krone along the way.
Monitor: I am not an expert when it comes to monitors and was just going to leave it alone, until I looked at the list.
I use a Samsung monitor myself and love it, so I'd say 24" Samsung B350H
, be aware it is red.
*Edit - To those of you who read foreign posts and can't figure out the prices, you don't have to.
You only need 3 things: a browser translator, basic math skills, and an understanding of computer hardware.
I also usually keep http://coinmill.com/
open in a tab, just so I don't suggest a "huge savings" that ends up being 12 cents.
Its just like shopping in your country, find the best bang for the buck items (or whatever the currency happens to be).