Since dejacky gave you an excellent suggestion that involves extensive case modding, I'd like to give you one that involves least case modding. Also, my approach focuses on minimizing the cause of noise, as opposed to suppressing/insulating noise.
First of all, if you haven't bought your CPU and mobo, I'd recommend buying P4 NW or Tualatin Celeron or Tualatin PIII-S. Athlon XP is not an optimal processor for a quiet machine. And Tualatin Celeron or PIII-S should be enough for an office machine. There isn't a huge real-world difference from Athlon XP 1600.
If you have already bought CPU & mobo, I'd then recommend using Alpha PAL 8045 if it fits your mobo. Pace dejacky, I'd recommend using low noise 80mm fan with a huge heatsink like PAL 8045. You can use a MUCH QUIETER fan if you go with PAL 8045 that uses 80mm fan. It's hard to find a quiet 60mm fan with sufficient CFM. If PAL 8045 doesn't fit your mobo, consider Swiftech MC462. Whichever you choose, just buy a HS and pair it with a quiet fan, like Papst 8412NGL, rated at 12dBA/19CFM. It's available at Plycon and Dynatron. Try to find a fan with less than 20dBA rating. Alternatively, you can use PC&P Silencer at 7v. BTW, if you are using Athlon XP 1600, then PAL 8045 & Papst8412 NGL is enough to cool it.
If you go with Tualatin Celeron/PIII, you might be able to run it fanless.
Now, as regards a case, I'd suggest Antec sx600 (w/o PSU) or Antec sx630 (w/ Antec PSU). I don't know much about Enlight case, but you should check if it has a good ventilation. Another thing that I would check is whether it is sturdy built, like Antec sx series. If not, it could cause you vibration noise.
For case fans, I recommend 80mm fans rather than 90mm or 120mm fans, because you can find much quieter 80mm fans than 90mm or 120mm fans. With 120mm fans, you'll have to undervolt your fans to 5v. Actually, if you go with Antec, it comes with 80mm fans. You can and probably should replace them with Papst 8412NGL or PC&P Silencer fans. I don't see any reason to use 120mm fan if you are going to build a quiet office computer. I guess Enlight also uses a 80mm fan by default.
As regards PSU, I'd suggest Enermax FMA or FCA version, although that may not be quiet enough. If so, replace fans. Antec's PP303XP may also be quiet, if you can lower RPM of its fan via motherboard. Actually Antec PP303XP could be quieter than Enermax under this condition, since it only has one fan. Unless you cover your PSU like dejacky does, you will definitely hear your PSU, be it Enermax or Antec. If you buy a modded Enermax with a single Papst fan from noisecontrol.de in Germany, you might not be able to hear it. Right now I have a 330W Enermax with 7-volted PC&P Silencer fan and 5-volted Panaflo 90mm L, whose total noise is definitely below 20dBA, but I can still hear its noise, although I have to admit that I'm really sensitive to noise and work in my quiet room alone. I don't know what PSU comes with Enlight, but it'll be noisier than Enermax or Antec, since these two are the least noisy.
If you haven't bought your HD, I recommend getting Barracuda IV. Your HD, if noisy, could ruin all your efforts for a quiet machine.
So, to sum up, if you go with Antec case and replace its 80mm fans with Papst or PC&P Silencer fans and use Antec PP303XP or Enermax EG365 (FCA/FMA), then you'll get a quiet case. In addition, it'll be better if you use PAL8045 with Papst8412NGL as your HSF. Just in case you don't have your CPU yet, get P4NW or Tualatin Celeron/PIII. Likewise, if you don't have your HD for your new machine yet, get Barracuda IV.