best low budget computer?

The second one, as said above, has a better GPU but also doesnt come with a monitor.

I wouldnt trust a high quality power supply either. Manufacturers commonly put poor quality ones to reduce price of computers. It also works in their favor since when your power supply breaks, it breaks the computer. Thus you are more inclined to buy a new one.
 
Here is the same build with a quality motherboard, psu, and case that are known good quality.

http://uk.pcpartpicker.com/p/3x9g6

No keyboard/mouse/headse yet but comes in $100 cheaper.

Now with that said, i built it to match the one on amazon, not excede it.
Besides gaming, what are your other purposes for the computer and what is your budget (not including keyboard/mouse/headset so you can choose what works best for you).
Then I can piece together a computer that is the best for your budget.
 
Here is a better build for less. It only has 8GB instead of 16gb but you only need 16 for video editing or extreme multitasking. With that savings I put in a 8-core cpu, an SSD drive to make a big difference in performance, win 7 pro, and a 23" IPS monitor (bundle only had a 21.5").

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: AMD FX-8320 3.5GHz 8-Core Processor (£105.59 @ Aria PC)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler (£25.45 @ Scan.co.uk)
Motherboard: Asus M5A97 EVO R2.0 ATX AM3+ Motherboard (£68.98 @ Amazon UK)
Memory: G.Skill Ripjaws X Series 8GB (2 x 4GB) DDR3-1600 Memory (£59.99 @ Aria PC)
Storage: Kingston SSDNow V300 Series 120GB 2.5" Solid State Disk (£48.78 @ Aria PC)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive (£35.94 @ Aria PC)
Video Card: XFX Radeon R9 270X 2GB Double Dissipation Video Card (£146.99 @ Ebuyer)
Case: Corsair Carbide Series 300R Windowed ATX Mid Tower Case (£63.97 @ Amazon UK)
Power Supply: XFX 650W 80+ Bronze Certified ATX Power Supply (£58.99 @ Dabs)
Optical Drive: Samsung SH-224DB/BEBE DVD/CD Writer (£11.52 @ CCL Computers)
Operating System: Microsoft Windows 7 Professional SP1 (OEM) (64-bit) (£54.90 @ Amazon UK)
Monitor: Acer H236HLBmjd 60Hz 23.0" Monitor (£121.48 @ Scan.co.uk)

Total: £802.58 (Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-04-23 20:27 BST+0100)
 


Lol this. AdumJones, if you wish to get the "best computer for your money" build one yourself.