This CPU is for a gaming system under a tight budget. However, there is no need for an integrated GPU. In my current state, I am looking for the best AMD CPU available to buy. It can be any socket, as a new motherboard is needed anyway. So my question is, what is the best value AMD chip under $70 for performance and value.
The best available CPU at ~70$ U.S. is the AMD Athlon X4 860K. It is an FM2+ socket Kaveri chip with for compute cores. It is clocked at 3.7 Gigahertz stock, though generally has very good overclocking potential, if interested, and also happens to be the CPU that powers my system.
Pretty much any Intel CPU beats it out in single core performance at stock, but when overclocked, it approaches i3 performance per core and has an extra 2 cores to work with.
The AMD FX-6300 is also another chip you might want to look into. It has 6 cores, each slightly inferior to the X4 860K's. However, it costs $90 and is on a dying CPU socket, the AM3+, which will be totally replaced by Zen later this year.
If you want to wait for the new Zen AMD CPUs to come out (AM4 socket), that is a good idea too, as they are supposed to actually compete with Intel i5 and i7 processors.