I asked for a budget because, you're going to be getting hit with all sorts of top end builds if you don't designate a budget. And, judging some of the parts in the video - you don't want that.
Peripherals - Keyboard,Mouse,Monitor.. etc.
Moving forward, as for the parts listed in the video. I'm not going to tell you not to buy them. However, they weren't necessarily the "best" parts you could get for your money. I didn't catch the name on the CPU but the whole build was pretty budget. With $800 you could build something much better than what was showed in the video. I'm not really familiar with those programs you listed. So, I'm not sure how demanding they will be or what scale of work you will be doing with them. But, here is what I think you should start with.
CPU:
Intel Core i5-3570K ($219.99)
Mobo:
ASRock Z77 Extreme6 ($154.99) - This is something that you could opt to get a cheaper board. I didn't really put much time to look into other options.
GPU:
Gigabyte HD 7850 ($169.99)
PSU:
CORSAIR Builder Series CX500 ($59.00)
RAM:
G.SKILL Ripjaws X Series 8GB ($66.99)
Optical:
Lite-On ($18.00)
HDD:
Western Digital WD Blue 500GB (60.00) - This is something I'm sure someone else may recommend a better part. For instance, you could work it out to get a 120-240GB SSD.
Case:
NZXT Source 210 Elite ($42.79) - This is something that is completely up to you. But, this case would be a solid suggestion.
This will put you around $791.75 before taxes. But, it would be better than what the video offered up.
Edit: I forgot to mention the possibility of getting a haswell CPU & compatible MOBO. That would be a option as well. But, these are just mere suggestions.