It's very easy to hit that target, and to hit some of your requirements along the way. You can go cheap on the case/PSU, but I don't know how much sense it makes.
I'm assuming you are looking at something like this, which is why you think you can't reach it? (perhaps with colour matched memory etc). Obviously if you factor in a fancier cooler and an SSD, you could easily be $200 over budget.
PCPartPicker part list /
Price breakdown by merchant /
Benchmarks
CPU: Intel Core i5-4670K 3.4GHz Quad-Core Processor ($229.99 @ NCIX US)
CPU Cooler: Cooler Master Hyper 212 EVO 82.9 CFM Sleeve Bearing CPU Cooler ($29.99 @ NCIX US)
Motherboard: Gigabyte GA-Z87X-UD3H ATX LGA1150 Motherboard ($152.99 @ NCIX US)
Memory: G.Skill Ares Series 8GB (2 x 4GB) DDR3-1600 Memory ($64.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($59.23 @ OutletPC)
Video Card: MSI GeForce GTX 780 3GB Video Card ($469.99 @ Newegg)
Case: Fractal Design Arc Midi R2 ATX Mid Tower Case ($94.99 @ Newegg)
Power Supply: Antec High Current Gamer 620W 80+ Bronze Certified Semi-Modular ATX Power Supply ($59.99 @ NCIX US)
Total: $1162.16
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-03-24 02:10 EDT-0400)
With tweaking to specifics, you can get that under budget without any issues, but if looks are a big thing then you might want to consider something like this-
PCPartPicker part list /
Price breakdown by merchant /
Benchmarks
CPU: Intel Core i5-4440 3.1GHz Quad-Core Processor ($174.99 @ SuperBiiz)
CPU Cooler: Phanteks PH-TC12DX_BK 68.5 CFM CPU Cooler ($58.92 @ Amazon)
Motherboard: Gigabyte GA-H81.Amp-UP ATX LGA1150 Motherboard ($69.98 @ SuperBiiz)
Memory: Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory ($72.99 @ Newegg)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($59.23 @ OutletPC)
Video Card: PNY GeForce GTX 780 3GB Video Card ($494.99 @ Amazon)
Case: Fractal Design Arc Midi R2 ATX Mid Tower Case ($94.99 @ Newegg)
Power Supply: Antec High Current Gamer 620W 80+ Bronze Certified Semi-Modular ATX Power Supply ($59.99 @ NCIX US)
Total: $1086.08
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-03-24 02:16 EDT-0400)
It's not quite as fast, both the CPU and the graphics card are slower, but the real difference is going to be pretty small in games. It's got what I think is quite a nice looking cooler (though it might not fit with what you had in mind, it does show you have room in the budget), a GTX780 with the Titan cooler I think you wanted, and some slightly more subtle memory too. Is it the best value system you can buy? Nope, but it does show that if you want to push towards a certain aesthetic it should be doable without breaking the bank or entirely destroying your performance.