A number of short phrases have come into use to describe various Extra Solar Planets that could be termed Planet Types. The planets Earth, Jupiter, and Neptune are often used to designate the size as are Super-Earth and Mega-Earth, the latter two which may simply designate the size or may also suggest it is rocky.
The terms gas planet, liquid planet, and rocky planet are used to designate its primary constituents. Hot typically means very close to the star, perhaps an orbit of a few days and temperatures in thousands of degrees. Warm has been used for planets with close to Earth temperatures or for considerably warmer.