Hi and welcome to SPCR.
Case: Fractal Design Define R4 - check. 170mm CPU cooler height clearance. Be prepared to use your mobo's Fan Xpert2 utility to set up a silent profile.
PSU: SeaSonic X Series X650 Gold - total stressed system power is in the 130W range. Good news is the fan won't turn on. Another is the Kingwin LZP-550. Or, you could go with a lower wattage fanless design. Seasonic X-400, etc.
Mobo: ASUS P8Z77-V PRO - check. Does the PRO have features you need over the other varieties?
CPU: Intel Core i7-3770K Ivy Bridge 3.5GHz - check
Cooling: CORSAIR Hydro Series H100i Water Cooler: If you don't plan to overclock the CPU, you can use a decent air cooler for similar temps, less noise and less cost. The recently reviewed Thermalright TRUE Spirit 120M
is ~$43. The Noctua NH-L12 is another good choice for ~$60. Moving up in size, there's the Scythe Mugen 3 Rev B for $45.
Memory: G.SKILL Ripjaws X Series 16GB (2 x 8GB) DDR3 2133: There's a tiny
benefit going to DDR3 1800 from 1600...but nothing to be gained going to 2133. Better off sticking with DDR3 1600 with decent timing at 1.5V or less. Also, beware heatspreader clearance as you select a CPU cooler. If you like G.Skill, there's the [url=http://tinyurl.com/cmjcr6y[Ares series[/url].
SSD (for OS and Apps): SAMSUNG 840 Pro 128GB SSD: Very fast, but new controller. The 830 has a great track record, hopefully the 840 Pro will as well.
HDD (Samples): Seagate Barracuda 3TB 7200 RPM SATA 6.0Gb/s: I understand that you need a 7200 rpm drive for samples....good selection, but you might notice seek noise. Might have to throw it into an enclosure. Alternative is a second SSD for samples (Samsung 830, Crucial m4 are cheap and reliable) and a 5400rpm drive for storage.
Graphics card: Integrated for now
Sound card: Integrated