Here's an example of a bottom-dollar general purpose build:
AMD A6-3650 Llano 2.6GHz Socket FM1 100W Quad-Core Desktop APU AD3650WNGXBOX
Model #:AD3650WNGXBOX
Item #:N82E16819103943
$119.99 $119.99
The 3850 is only $20 more, but is out of stock.
Rosewill R101-P-BK 120mm Fan MicroATX Mid Tower Computer Case
Model #:R101-P-BK
Item #:N82E16811147112
$29.99 $29.99
A nice, small, quiet case.
ASRock A75M-HVS FM1 AMD A75 (Hudson D3) SATA 6Gb/s USB 3.0 HDMI Micro ATX AMD Motherboard with UEFI BIOS
Model #:A75M-HVS
Item #:N82E16813157261
$74.99 -$5.00 Instant $69.99
Once again, I have a good personal history with ASRock.
XIGMATEK NRP-PC Series ACXTNRP-PC402 400W ATX12V Ver.2.3 80 PLUS BRONZE Certified Active PFC Power Supply
Model #:ACXTNRP-PC402
Item #:N82E16817815007
$59.95 -$15.00 Instant $44.95
This or the Antec EA-380D would be my PSU choice for this very basic build.
Kingston Value 4GB (2 x 2GB) 240-Pin DDR3 SDRAM DDR3 1333 Desktop Memory Model KVR1333D3S8N9K2/4G
Model #:KVR1333D3S8N9K2/4G
Item #:N82E16820139659
$23.99 $23.99
This machine doesn't need more than 4GB of RAM. If you get more, do it only because RAM is pretty cheap right now. I doubt you'll see a performance difference.
Seagate Barracuda ST500DM002 500GB 7200 RPM SATA 6.0Gb/s 3.5" Internal Hard Drive -Bare Drive
Model #:ST500DM002
Item #:N82E16822148767
$44.99 $44.99
Not much to say. This is a new model, but I'd buy one.
Sony Optiarc CD/DVD Burner Black SATA Model AD-7261S-0B LightScribe Support - OEM
Model #:AD-7261S-0B
Item #:N82E16827118040
$19.99 $19.99
One optical drive is much like another. This one has Lightscribe.
Subtotal: $353.89
There is no GPU, but the IGP can handle light gaming. You can always add one later if needed.