Quick and dirty. There are places where things could be improved and costs cut by combo deals and such, but it's a decent starting build that meets your original component list. I skipped a CPU cooler because you aren't overclocking, but I'd recommend one anyways. You can get pretty nice ones for ~$25-30.
I don't feel comfortable in recommending an AMD processor as I don't have much experience with them and I'm bias towards the i7 for my own purposes. I'm also kind of a monitor snob and go strictly with ISP panel LCDs for desktop uses, which are more expensive than the more common TN panels. A 22" Dell with an ISP panel is around $280 now.
I'm sure other people will be able to offer much better advice about this, so I'll refrain. I would definitely recommend spending some of your budget on a monitor though. I'm not sure what your budget is exactly is as you say you're looking for something 'at least $1000.'