My setup is as follows:
Fractal Design R2 XL ultra tower ( by no means necessary lol but love it) paid $99 on Newegg
ASUS M5A99FX Pro 2.0 mobo ( $115)
AMD FX-6350 CPU ($119)
Patriot Gamer RAM 1600 16GB ($140)
Cooler Master 212 EVO cpu cooler (35)
EVGA 650 bronze ( caught a refurbished one for like 50 bucks but can get many 650 watt PSU for around that)
Sapphire R7 265X ( this is the steal of mid budget GPU's in my opinion, got mine for 145, running dual monitor setup and every game ive played ive maxed out res settings and have yet to not get 45 to 60 consistantly)
Kingston V300 120GB SSD ( crucial for top performance, most underrated component of a fast system overall, 55 bucks!)
500gb HDD WD (45 bucks, storage for music, movies, etc)
Shipping and all way under your budget, would even leave room for a nice monitor. I do plan to get another SSD and run RAID, as well as another R7. The money difference as well as being able to run two video cards at 16x each was the draw for me to the AMD. Intel's are great setup's but I can easily OC my cpu to 4.5GHZ if I wanted and I just wanted to be able to be comfortable for the next 3 or so years without having to revamp entire setup. Hope this helps!