First, congrats on getting a new computer! It's always exciting!
Second, I highly recommend the site PC Part Picker! It allows you pick each individual part you want, checks to make sure it's all compatible, then gives you prices from several online sites. Suuuuuper handy and it lets you do the following:
Thirdly, here's the list of parts I used to make my rig that I just built at the beginning of the month: http://pcpartpicker.com/user/Bumpton/saved/3aDp. I absolutely love it. I haven't had a new gaming pc in years and it works great. (Side note: building pc's is way the fuck easier than it used to be!) I didn't need a monitor, OS, mouse, keyboard, or speakers, so it's kinda just the bare essentials, but it looks kinda like what you're looking for! Granted, the price on this one is a little higher (~$960), but some tinkering can get it a closer to your ideal price. (Maybe slightly cheaper gfx card and lose the ssd?)
Anyway, best of luck! Hope this helped at least a bit!