That's so easy. You can make many gaming PC's for that money that will run the latest games at max.
So you have.
CPU, Can get Intel Core i7-4790 (10k score on passmark). About $310
GPU, You can get GeForce GTX 970 (7th most powerful on passmark). About $315
Motherboard, You can get the MSI B85-G43 Gaming Motherboard for $140
Memory, Get two 4gb sticks of DDR3 in whatever brand you want. Should be able to do it for $130
PSU, Get an 80 plus PSU of about 600w. Xigmatek Tauro 600W 80+ for about $85
Storage, Just get a 64GB but good brand SSD. Use an external HDD for storing other things.
Case, Any case will do.
Well that went slightly over $1000, but it would be a very powerful rig.
That being said you can go a bit lower on all of them. Like get the model just under those and build a slightly less powerful rig, sometimes people build something that has more power than they need.