CPU - AMD Athlon II X4 360
Motherboard - MSI 890GXM-G65
Memory - Crucial 4GB (2x 2GB) DDR3
Case - Antec Twohundred (v2)
Power Supply - Antec BP550plus
Optical Drive - Lite-on DVD Burner
Hard Drive - Segate Barracuda 7200 12 1TB
Operating System - Microsoft Windows 7 Home Premium
1 Extra SATA Cable
Price $632.98 From NewEgg.com
Now Some Extras (Mouse Keyboard ECT)
Mouse - Razer Mamba
Mouse Pad - Razer Sphex Serious Gaming Edition
Keyboard - Dragon Age™ II Razer BlackWidow Ultimate
Headset - Razer Megalodon
Moniter - NEC Display Solution E231W-BK 23''
A nice mechanical (higher quality than most) keyboard that is 1/3 of the price of your Razer keyboard, and is PS/2 instead of USB (this means no macro keys or anything), but you can press as many keys as you want without them interfering with each other, this can be a problem with USB keyboards.
The one you chose has a 5ms response time. This means you will probably experience ghosting with it, and it is also way more expensive. This is a great Monitor that is either better or equal to the one you chose in all respects. I have the 21.5'' version, and it's amazing.
This comes out to $345, which is quite a lot, but considering what you chose to begin with...
Alternatively, you could chose cheaper extras and save a lot of money. You could get a cheaper monitor for $130 that would still be good, you could get a $20 keyboard, you could get a $20 mouse, a $10 mouse mat, and a $10 headset, and not be much worse off than with the $345 set. I happily game with my $10 headset and $20 keyboard.
Yeah, get rid of some of those extras and put in a good Graphics card, at least a GTX 560 or a Radeon HD 6850 card. Radeon HD 4290 built in graphics won't even do well with minimum settings on older 3D games. You should also get at least a Phenom II X4 945 CPU. If your really budget limited you could consider a Phenom II X3 720 But that is absolutely the bottom of the barrel.