I just wanted to add that for $1k Intel makes the most sense, just get the slowest non-K-series Core i5 chip and make sure it's a haswell core. Haswell is the best performance-vs-power and best money sweet spot right now. Games are more at most optimized for quad core only, no game exists that will use more than 4 cores. And there are some games out there (Short list: Borderlands 2, Borderlands: The Pre-Sequel, RAGE) that actually require a quad core to run correctly now a days.
I would also suggest a GTX-770 or 760, they're not very expensive now, and they're really good performance. More games are coming out now optimized for nvidia more than anything else.
If you're going SSD, I very strongly suggest the samsung pro series above any and all other considerations. There are multiple websites that have extensively stress tested them beyond anything any normal user would do. I'm talking artifically creating 80 million - 120 million writes and reads to the things, and even after all that they still work perfectly, just run about -5% slower.
You have the budget for this stuff, so just get the good stuff and spend it on quality parts and you should still be below your $1000 target.
The only other issue is make sure you get a modern name brand power supply. And either 80+ gold, or platinum. Gold and platinum power supplies in the 500 - 550 watt range are the best option right now. The gold/platinum really does make a significant difference on the power draw @ outlet and your utility bills. Brands like Corsair, ThermalTake, OCZ, PC Power & Cooling, etc. I can find a page a little later on power supply tiers and post it here for you to read. I had it the other day.
EDIT: Power Supply Tiers guide for PC Builders: http://linustechtips.com/main/topic/183351-pl … -from-eggxpert/