Can someone link me to a GPU that can play 1080p games and try to keep it around 200$ or less
You're going to be looking at whatever's cheapest out of the RX 480, GTX 1060, or GTX 970. The 780ti and R9 290x could also work but they are going to be older and produce more heat.
XFX Radeon RX 480 4GB RS
Here are two great deals on RX 470's. They both have $20 mail in rebates that make them steals.