Leroux: On a German forum, for example, someone suggested that a user instead of buying the Hyrican PC I linked to above could get something like this for more or less the same price:
Psyringe: That's a formidable machine as well. I'm not too fond of ASRock motherboards though (they are one of the cheapest brands on the market, and the ASRock board that I once had never worked really well, but others like them). And I think the PSU needs more power for this hardware. Don't skimp on the PSU, especially not if you're planning on keeping the same machine for many years.
Leroux: Yeah, I should probably add that I'm perfectly happy playing games in lower resolutions like 1024*768 or so most of the time. I really don't have that high demands, I guess I wouldn't even know what I'm missing by not playing on the highest resolutions with all the special effects turned on, as long as the game still looks good enough to me. My current problem is mostly that lots of games already lag in the menus, because I don't have any kind of decent Shader support. Rather than playing everything maxed out, my priority would be just the games running smoothly while still looking nice, and that I don't run into the same issues I have now too soon again (like games not working at all or only with the settings so low that they're a pain to look at; e.g. Trine in 640x400 :D). So maybe these rigs are quite a luxury already compared to my actual needs?
Psyringe: If that's your goal, then you can probably achieve that with a much cheaper machine. An i3 CPU would be sufficient, and you could downgrade the graphics card as well, though I can't tell by how much - I have little experience with cards below the nVidia 560. I _can_ tell that the 560 is already more than enough for what you have in mind, you wouldn't even need a 560 Ti.
What is your current hardware? (So that we can get a grasp of what you're used to.)
I wouldn't go below 8 GB RAM with a 64-bit operating system, but given your target performance, I'd say you could definitely go with a weaker/cheaper machine than the ones you posted.
Edit: If you value longevity higher than peak performance, then you're probably better served by buying high quality brands with lower actual performance. And you should probably tell that at other forums as well where you ask the same question, because you'd then have unusual preferences. Which is absolutely no problem, but people will usually suggest systems targeted for different goals when you ask them about advice.
Edit 2: One other thing that I keep forget mentioning is noise. Modern graphics cards can be pretty loud even if if advertised as "silent". If performance isn't the penultimate goal, then you have the option of getting a low-noise PC; might be worth a consideration. I know that this is important for me since my PC stands right next to a bed in which two people sleep at odd and varying times, but that's probably an unusual scenario as well. ;)
A little OT, but...
I think this is the kind of thing you pay for when you get a pre-built PC - guys that know what each brand & model and how things work together. Guys that know that "Video cards from y don't work too well with motherboard x with this chipset generation..." and "spend a little less on x and put it towards better quality y" stuff. That's sometimes worth the premium, not just plugging parts together.
I remember building a PC years ago, trawling forums and blogs trying to figure out exactly which motherboard to get... it was extremely time-consuming and confusing.