A 1000$ pc build for 3D Rendering and game development

I know you said you'd prefer an intel cpu, and you could build something equal to this with an intel cpu most likely, but when it comes to 3D rendering, it's not the cpu that's doing the heavy lifting anyways, I'm pretty sure the gpu is pretty important in getting the job done in this task, all you need is a cpu that either has a lot of cores with decent performance, or a powerful quad core with hyperthreading. The latter is where Intel takes the cake, but it's far more expensive to get something that will exceed this AMD cpu from Intel. For the price of the cpu, AMD really does shine in this kind of scenario, the FX chip is pretty good at multi-tasking, video editing and 3D rendering, so you'll still be in good hands. The other bonus of this cpu is that you can overclock the hell out of it, especially with that pricey cpu cooler I threw in there. If you feel like your cpu isn't up to your expectations, you can overclock it to match a far more expensive processor in 3D rendering. If you don't intend to overclock, you don't need to buy a cpu cooler at all since it comes with a free stock one. If you don't care abou putting your OS on an SSD either, then you can remove that from the build and save some money there too. In any event, even without the cpu cooler and the SSD this build should do a good job at 3D rendering, so it should be well within your budget.

PCPartPicker part list: http://pcpartpicker.com/p/FY7xBm
Price breakdown by merchant: http://pcpartpicker.com/p/FY7xBm/by_merchant/

CPU: AMD FX-8320 3.5GHz 8-Core Processor ($139.99 @ Amazon)
CPU Cooler: Noctua NH-U12S 55.0 CFM CPU Cooler ($73.56 @ Amazon)
Motherboard: Asus M5A97 R2.0 ATX AM3+ Motherboard ($89.78 @ OutletPC)
Memory: Kingston HyperX Fury Black 16GB (2 x 8GB) DDR3-1866 Memory ($78.89 @ SuperBiiz)
Storage: Sandisk Ultra Plus 128GB 2.5" Solid State Drive ($72.00 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.89 @ OutletPC)
Video Card: XFX Radeon R9 290X 4GB Double Dissipation Video Card ($308.98 @ Newegg)
Case: NZXT S340 (Black) ATX Mid Tower Case ($68.99 @ SuperBiiz)
Power Supply: XFX PRO Black Edition 850W 80+ Gold Certified Fully-Modular ATX Power Supply ($119.99 @ NCIX US)
Total: $1002.07
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-09-27 17:03 EDT-0400

Or GeForce GTX 970 which is better (309.99$ @ Amazon)

In case you're not certain that my build is top notch for your needs, I also mocked up an Intel build for the same price (shown below). This link compares the performance of the two cpus (which is the only difference between these two builds): http://cpuboss.com/cpus/Intel-Core-i5-4430-vs-AMD-FX-8320
In the benchmarks for multi-threaded applications the FX chip comes out on top every time. As you can see though, the performance is very similar between the two, the only difference is that the FX chip is cheaper, allowing you to get a cpu cooler that can overclock it to be much faster than the i5 in all aspects. So for a $1000 budget, the first build I posted is the best option.

PCPartPicker part list: http://pcpartpicker.com/p/x7qv99
Price breakdown by merchant: http://pcpartpicker.com/p/x7qv99/by_merchant/

CPU: Intel Core i5-4430 3.0GHz Quad-Core Processor ($171.95 @ SuperBiiz)
Motherboard: Gigabyte GA-Z97X-UD3H ATX LGA1150 Motherboard ($112.98 @ Newegg)
Memory: Kingston HyperX Fury Black 16GB (2 x 8GB) DDR3-1866 Memory ($78.89 @ SuperBiiz)
Storage: Sandisk Ultra Plus 128GB 2.5" Solid State Drive ($72.00 @ Amazon)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive ($49.89 @ OutletPC)
Video Card: XFX Radeon R9 290X 4GB Double Dissipation Video Card ($308.98 @ Newegg)
Case: NZXT S340 (Black) ATX Mid Tower Case ($68.99 @ SuperBiiz)
Power Supply: XFX PRO Black Edition 850W 80+ Gold Certified Fully-Modular ATX Power Supply ($119.99 @ NCIX US)
Total: $983.67
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-09-27 17:11 EDT-0400

The gtx 970 runs cooler, quieter, and more efficiently, but it should be mentioned that it has 0.5gb of VRAM that are "faulty". What I mean by this is that the gtx 970 has a total of 4gb of VRAM just like the r9 290x. However the last 0.5gb of VRAM that is accessed when the card is pushed to its limits is significantly less efficient than that of the rest of its VRAM. This often leads to the slowing down of processes that the graphics card is taking care of. For instance I have two gtx 970s, and when I game I can play most games at ultra settings at 1440p and get 60fps no problem. However, when a certain setting attempts to access the entire 4gb of VRAM, like in Crysis 3, I end up seeing dips down to 30-40fps suddenly because I changed the texture settings from very high to ultra. The visual difference is minimal, but the difference in performance is huge. I don't know how exactly this performance hit could translate into 3D rendering, but it is a problem worth noting. So I don't think it's fair or correct to say that the gtx 970 is simply "better". It's a more efficient card, but it has 0.5gb of faulty VRAM. That's why I personally suggest the r9 290x.

Not everything you have listed can use GPU acceleration so your going to need a happy spot of some of both good CPU and GPU.
Definitely buy a Intel processor and video card for the CUDA of the video card.
Your also going to need a ton of storage believe me I run Blender, UR4, MS VS 2012 for C++.
This would be a nice mix of performance right at your price range with 3TB of disc space.
http://pcpartpicker.com/p/3BBKt6
EDIT changed some of the vendors to get away from hidden shipping cost that drives up the price over what you would see.
Your also going to need to buy a good external drive to back up your work as soon as you can hard drives fail and it sux when you have hours and hours of work that can't be replaced.

Fair enough. Xeons are pretty damn good when it comes to creating content, honestly forgot about them when I was putting together the build, my expertise tends to lay more in the realm of gaming pcs honestly.

I do some of everything including gaming. My 2500K overclocked is still kicking but going to build with a 5820K paired with a 980ti on black Friday /cyber Monday because I'm no longer getting the performance I need to much of a work load.

Yeah the 2500k is a champ, but damn that'll be a nice build. I recently got an i5 4690k and two gtx 970s so I'm set for a bit, but there's no feeling like putting a new build together.