As said - get a better quality PSU. Decent ones come from Corsair, Antec, Seasonic, XFX, Enermex, and a few select units from other companies but the aforementioned are usually the ones where most if not all their units are solid.
A Hyper 212+ or an Evo would be an excellent cooler (whichever is cheaper).
AMD FX 6200 Black Edition
Corsair Enthusiast Series 650TXV2UK
1GB Sapphire Radeon HD 7770 OC
Gigabyte GA-970A-DS3, AMD 970, S AM3+
Antec 300 Three Hundred Black Mid Tower Computer Case
16GB (4x4GB) Corsair DDR3 Vengeance low profile, PC3-12800 (1600)