Around August of 2013 I decided I wanted to build a gaming pc. After using a laptop for several years, it just could not handle some of the games I have. I bought all of the parts around black friday / cyber monday 2013, so I got really good deals on some of the parts (especially the video card).
I had an older monitor/keyboard around, and I was able to get an operating system through my university.
My budget was about $800, and I got a great system for around that (not including monitor). I have done some benchmarking - it can run Tomb Raider and Bioshock Infinite at an average of 85 fps (1080p), and runs the majority of my games on max settings, 60+ fps.
Overclocked the CPU to 4.2GHz on stock voltage. Hoping to overclock more further down the road. Also OC'd the graphics card from the stock 880MHz to 1GHz, and memory from 1250MHz to 1500MHz.
Overall it's been a great system. Had a little trouble installing the operating system, but after that it's been fantastic.
Note that benchmarks listed for 3DMark 11 are actually 3DMark Advance (Extreme is fire strike, performance cloud gate, and entry ice storm).