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It costs 800 dollars and performs like something a lot more expensive.

If you put the computer together with those parts, it would certainly turn on and run. However, there's no reason to buy a full tower case for a Micro ATX motherboard. You can get a sleek looking case for less than half the price of that Antec Twelve Hundred.

Your CPU is great for gaming. Phenom II all day err' day. If you think you're going to be doing a lot of photo and video editing/rendering, then you may want to look into the FX series for something with more cores like the FX-6300 or FX-8320.

You can find higher clocked RAM for about the same price as yours (maybe even a few dollars cheaper). You can also find a cheaper HDD since caviar blacks are optimized for performance at the expense of noise and power consumption, but in all honesty, the difference in performance is insignificant. Caviar Greens are power friendly and near silent, whereas Caviar Blues are the general use drive and the happy medium between power, performance, and noise.

An absolutely great choice on the PSU. Antec PSUs are very reliable and it's good you didn't skimp out on this. It's also modular, which is great as I'm assuming this will be your first build.

As for the graphics cards, you may want to consider the AMD HD 7870 as it ranks slightly higher on certain benchmarks than the GTX 660 and is cheaper too. Although the 660 has a higher clock speed (~300MHz) and consumes less power than the 7870, the 7870 trumps the 660 in all other specifications. Your PSU can also handle the extra ~30 watts. Some may disagree with me here, but you have to decide for yourself from doing your own research. Whichever card you go with though, you won't be disappointed; they're both great cards.

You can eliminate the optical drive if you won't be reading or writing discs that often, and can install Windows from a USB instead (it's also a quicker alternative). However, for how cheap optical drives go for, it's totally cool that you'd want one for security.

If you want to save even more money, then I may suggest looking into several unorthodox methods of installing Windows onto your PC, that I cannot advocate.