PCPartPicker part list:
http://pcpartpicker.com/p/3crPf
Price breakdown by merchant: http://pcpartpicker.com/p/3crPf/by_merchant/
Benchmarks: http://pcpartpicker.com/p/3crPf/benchmarks/
CPU: Intel Core i5-4670K 3.4GHz Quad-Core Processor ($219.00 @ Amazon)
Motherboard: ASRock Z87 Extreme4 ATX LGA1150 Motherboard ($129.99 @ Micro Center)
Memory: Kingston 8GB (1 x 8GB) DDR3-1600 Memory ($63.99 @ Amazon)
Storage: Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive ($54.99 @ NCIX US)
Video Card: PNY GeForce GTX 760 2GB Video Card ($236.99 @ Amazon)
Case: NZXT Gamma Classic (Black) ATX Mid Tower Case ($34.98 @ Best Buy)
Power Supply: Silverstone Strider Essential 600W 80+ Bronze Certified ATX Power Supply ($64.99 @ Amazon)
Operating System: Microsoft Windows 7 Home Premium SP1 (OEM) (64-bit) ($92.99 @ B&H)
Total: $897.92
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2014-03-19 00:27 EDT-0400)
Just barely under $900 and you are getting the more powerful gtx 760 in there rather than a 750 ti. The ti is great but obviously the 760 has a bit more power behind it. This will allow you play more than just minecraft if you wanted too in the future. It also has an 8x1 stick of RAM in case you wanted to up to 32 gb (why you would i dont know but the option is at least there) It also has a big enough power supply that you could run sli with two 760's down the line for improved performance too. The case is one of the best cases you can get for a mere $35 so it is definitely a deal but by no means is it the best case to have in general. Windows 7 > Windows 8 and you got a solid cpu + motherboard that can be overclocked by default though I wouldn't recommend doing that until you get an aftermarket cooler for the CPU. If any questions feel free to ask. Best of luck.
UPDATE: I also made the assumption that you need an OS but not a monitor. If different please tell and I will change the build to fit requirements.