Graphics PC with a lot of fractal work

Welcome to the forums

You seem to be asking for quite a bit on that budget
TBH, if you are looking at doing lots of graphical work, you should be spending your entire budget (or more) on the monitor alone...

Anywhoo, here is the best I could come up with on your budget:

Cooler Master HAF 932 Full Tower: $140
Corsair 400w PSU: $30 after $20 MIR
HYUNDAI W240D 24" Display: $350
ASUS P5KPL-CM: $55
Intel E5300: $70
2Gb DDR2 800: $30
9600GSO: $35 after $20 MIR
Samsung 500Gb Hard Drive: $40

Total: $750 after $40 MIR

I would recommend either saving more cash before buying or getting a cheaper mid tower case and a smaller monitor.
You can then use the saved cash to get a better motherboard, CPU, more RAM, faster GPU, larger Hd, etc.

Edit:
Woops, forgot a DVD drive!
Unfortunately, that is going to put you over budget by at least $18 ($28 if you want a DVD burner).
I guess you could switch to a Foxconn G31MXP-K and get $12 of that back.
That will still leave you at least $6 over budget...

I think you are mixing up DPI and PPI...
Anyways, it is a little more complex than just pixel density when it comes to monitors.
Larger displays are harder to manufacture and require more materials and larger backlights (among other considerations).

You also have to keep track of the type of panel used (TN, PVA, IPS, MVA and their derivatives).
TN is the cheapest and most commonly used panel.
It also is the worst of the bunch when it comes to viewing angles (it really sucks here) and usually has terrible color gaumet and accuracy.
The other types of displays, while distinctly different in their own rights, all have much better viewing angles, color gaumets and accuracy.

As you are intending to use this machine primarily for graphical work, I would highly recommend getting an IPS or PVA display.

With your revised requirements I would recommend the following:

Dell 2209WA 22" e-IPS: $290
Antec 300 Mid Tower: $55
Corsair 400w PSU: $30 after $20 MIR
ASUS P5Q SE PLUS: $87 after $10 MIR
Intel Q8200: $150
4Gb DDR2 800: $52
Samsung 500Gb Hard Drive: $40
9600GSO: $35 after $20 MIR
DVD/RW: $31

A hair over budget at $770 after MIRs but a much more capable machine.
If you can squeeze an extra $20, getting an Q8400 would make it even better.

I would highly recommend the Dell 2209WA as a budget display for graphical work.
As it is an e-IPS display, it has a much better viewing angle than most inexpensive displays and is fairly accurate out of the box.
When calibrated it can get spot on.
You can locate a great review for it over Here at Prad.de.

Not a problem, happy I could help!

forgot to add, the cpu has overclocking ability, the gpu is ati4200 and you can try to unlock the cores to get a X3 or even a 950 X4 if you are lucky.