You can have just about any turtle as a pet but a few that I know of that make good pets are the Eastern Box turtle, Red eared slider, Chinese pond turtle, painted turtle and the wood turtle.
Those are some turtles I know of that make good pets.
But do be prepared to take care of the turtle for a potentially long time as some turtles can live from 50 to 100 years and in some cases turtles can live up to 200 years.
So a turtle might outlive you.