That APU is quite good to play games at 720p.
You don't need a graphics card, integrated ones are plenty enough for your requirements.
Your build looks good, and I can't find anything better for the price.
I strongly recommend you get 8gb of ram (2x4gb) in dual channel mode, this will help A LOT with the graphics performance.
But you're lacking a PSU.
I have experience with this, I built a similar PC about 2 years ago. It has an A10-6800k, which is a bit stronger than your APU but not so much. I also have only 1 stick of ram, and really regret it.
But I can still play Minecraft on 1080p high settings. I can even play Skyrim, 1080p, medium-high. With dual channel ram, I would probably be able to play on high even. And lots of other games, always 1080p, usually medium settings.