This build will chew that APU up and spit it back out. If it's too far over budget, let me know. I'll try to rework some things. It's definitely worth the price though.
Still stronger than an APU build. Also, I think 550 euros is equivalent to about 470 pounds. Just a heads up. And the reason why I chose the ASRock Z77 Extreme4 is because of the features for the money. You also have the ability to upgrade to an i5 or i7 ivy bridge later.
Also G2130, which costs a little less benches a little better, and a bit less power.
Also G3420 on LGA1150 socket, costs a little less, benches a little higher still, although requires an 1150 motherboard.
These are strong chips like Deus says, and they get you on a great platform with large headroom even if Intel releases nothing more on the socket. And they are cheap, allowing you to splurge on the GPU or save a little money.
Nope. Shouldn't make too much noise. Although, this depends on your definition of noise. My definition may be very different from yours or the person that you are building this for. Replacing the case fans with noctua fans may help lower acoustic levels. You can also replace the stock CPU cooler with something like the Hyper 212 Evo.
And while I'm at it, here's one more revision of the build...
http://uk.pcpartpicker.com/p/1WJc7
Reservation Station made a good point in that the G2130 is an even better CPU than the G860. You can also give Haswell a try, but LGA 1150 motherboards tend to be more expensive since they are the latest and greatest.