Awesome. That CPU should do the job for gaming. At the moment the integrated graphics will limit you in some games, but there are still plenty of great games to choose from including quite a few that you mentioned up the top.
I'll try to give you an idea of what will be out between now and June in graphics cards that can play games at high settings at the best prices.
What's out now:
For high performance in a small case and motherboard (micro-ATX) on a budget- GTX 960.
This one might be out of your price range now, but sales will appear. Keep an eye out for it, especially when it gets a price cut to match the R9 370X.
Slightly cheaper alternative for performance in a micro-ATX case- R9 285.
The raw power GPU for systems with full sized motherboards and at least mid-tower cases- R9 280X
Its older, bigger and uses more electricity than the GTX 960, but it is more powerful.
The tight budget solution:
R7 260X works very well for medium-high settings without hurting the budget. A few games might only run on low settings, but if graphics don't bother you this is good bang for buck, and its better than what most people have.
What will be available by the second half of the year:
This is just a rumor, but AMD is expected to rebrand their R9 285 graphics card as the R9 370. This will mean it will become easier to find and sell at a cheaper price. The R9 285 is similar in performance to the R9 280, but smaller and uses less power. It has 2GB of VRAM, which is less than the 3GB of R9 280, but that only seems to make a difference at resolutions above 1920x1080. In short its slightly less good than the GTX 960, but it will give you the power you want at a better price.
If you only have a mini-tower case/micro ATX motherboard and you get the choice between the R9 370 and R9 370X I would choose the R9 370. Its less powerful, but that will also mean less heat and electricity drawn for a cooler and quieter system.
Max power for systems with tower cases and at least 550w power supplies- R9 380X.
Again this is a rumor, but it is meant to out-perform the R9 290 and GTX 970. It will probably arrive at a similar price to what R9 290 is now, but you will at least know that if you spend the money now you won't need to buy another graphics card for the next four years.
Best budget/performance system in second half of year:
Either R7 360X or Nvidia 950ti. No one knows anything about them now, but they are expected to arrive in the second half of the year at performance similar to what the R9 270X provides now. It's probably all the power that you would need.
Best of luck to you!