Your wants are pretty vague, and with what you describe you won't get what you want with your budget.
I'll start with the graphics card. "Play the latest and greatest on highest quality settings". What resolution monitor do you have? What FPS are you expecting? If you want that for at or close to 60fps @ 1080p you'll need to spend 600 of your budget on graphics alone
You're going to need to make some compromises somewhere anyways. Do you need Bluray playback? Requires extra paid for software to playback Bluray on your PC.
Basically with an 800 dollar budget you're looking at an i5 4460 rig with 8GB of RAM, a 1TB HDD, a cheap basic case, and a GTX 970. I recently built the same basic setup for a friend with an SSD for about 1100. The machine is a beast.
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