This may be able to play games at the lowest settings at 720p at 30 fps
CPU:
$70
Mobo:
http://www.microcenter.com/product/418118/FM2-A75MA-P33_Socket_FM2_mATX_AMD_Motherboard
$15
Case and PSU:
$28
Memory:
$34
SSD:
http://pcpartpicker.com/part/kingston-internal-hard-drive-sv200s37a64g
$53
This requires a microcenter for the CPU/Mobo Combo. Other than the cheap ass psu and case, it has some decent components. Went with the ssd cause the extra speed boost would be nice and someone paying $200 for a gaming PC probably isnt playing more than games like TF2 and others.