Damn!!! Now I get why my prices are that off! It's because of all those strange combo and whatever discounts! I hate that site already! The irony is, sharky's build just lost al discounts now (at date I posted this). At least it no longer shows them.
Calmed down 
, here are the results:
1000$ Build
Here you go: http://pcpartpicker.com/p/XoXf
NotesUsed alternative parts due to your big budget. Z77 mainboard for optional overclocking is chosen and the GPU is a stronger 660Ti (thanks to sharky).
Price without random discounts828 bucks if I only count the parts sharky listed, that's 45 bucks less than his build then.
969 dollar with all parts I suggest (more parts for full build). It's mainly the SSD which raises the price.
(Prices were correct at date, but they're fluctuating like crazy on pcpartpicker)
CaseThe more expensive parts are the case, but the Bitfenix has simply a higher quality, slightly better equipment and looks and feels much more high-grade than for its price. Definitely worth 20 bucks surchase in my eyes (oh and in case you need USB 3, the bitfenix does have it, whereas the 430 doesn't).
Power SupplyThe power supply (still suggest the be quiet for about the same price, cougar is more a placeholder) is more efficient and in case of the be quiet modular, which I think is a super nice feature and worth 15 bucks more. But that's up to you. (Just to be clear, the wattage is enough.) Only problem is that I don't know if the be quiet power supply is avaible in oversea.
But if you really want to save money as hard as you can, take sharky's power supply, it's very cheap (please no discount or I get mad again
)
3350P and ASRock H77 Pro4/MVP (13 dollar less) is your choice if you don't plan to overclock. Saves just about 94 dollar compared to 3570K with the Asus board sharky suggested.
Or you take the 3350P and use it with the AsRock Z77 Pro3 (as in the pcpartpicker list) or MSI Z77A-G43 board (still saves about 81 bucks). By increasing the core muliplicator to 37 (the maximum for the 3350P, the 3570 would go higher, but is for the normal user not needed) you already land at a clockspeed of 3.7ghz. That's already very fast! You can also increase baseclock (bclk) from 100 to about 105mhz (still stable), this would result in 3.9ghz clock speed! Now call the 3350P inferior...
Money saver aka better bang for the buckIf you don't want to spend that much money, you should go with my original suggestion with the saphire 7870 ghz. Better bang for the buck, but less powerful of course, it's up to you.
Budget Build
If you need money left for monitor, mouse, keyboard, speakers, etc, this may be interesting:
With SSD:
http://pcpartpicker.com/p/Xp07
Without SSD:
http://pcpartpicker.com/p/XoZ9
Note:ASRock H77 Pro4/MVP doesn't support overclocking, for oc look at the end of this post -> "alternatively"
In case of the GPU take the cheapest one.
Add a decent cpu cooler if you want: The Thermaltake Contac 30 is damn good for its price (25-30$)
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Alternatively: (for more money)
CPU
Intel Core i5-3570K Boxed (only if you want to overclock like mad (over 4ghz))
MainboardAsRock Z77 Pro4 or MSI Z77A-G43 (if you want to overclock the 3350P, goes easily up to 3.8ghz)
GPUGigabyte Radeon HD 7950 or (if you prefer to have Nvidia) Gigabyte GeForce GTX 660 Ti Windforce 2X or Asus GTX660 TI-DC2O-2GD5 (cheaper on pcpartspicker, thanks to sharky for showing - in general you should take the cheapest one)
Note: Prices in my regions are about the same, but it seems as if the 660Ti is cheaper in your region, therefore take the GTX 660Ti as alternative.
Power supplybe quiet! Pure Power L8-CM 430W (modular, about as expensive as the cougar - I'd replace the cougar with this one if you can get it in oversea aka NA)
BlueRay LG BH16NS40 (costs 4 times as much)
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All inclusive set (with monitor, os, speakers, keyboard, mouse, etc)
http://pcpartpicker.com/p/XoS6
100 bucks over the limit, but then you really do have everything (except if you want a SSD, then add the Samsung SSD I listed in the other sets, wich costs about 92$).
An interesting alternative for the keyboard is the "Kensington Keyboard for Life" (K64370A), spill proof, basically undestroyable and it comes with a lifetime warranty. Costs about 20$.
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Addition: You can mix the budget build with the 1000$ build if you want to save a little, but still have good performance.
