Throughout the manga, Jadeite uses teleportation and levitation. He also gathers energy and opens a few Dark Gates.
In the third chapter he also shows that he can drive a bus ^_^ and seems to have the ability to hypnotize people into following him.
He creates a sub-dimension (to keep the captured girls in), freezes Mercury's fog and manages to catch Sailormoon's tiara.
Other then that he doesn't do much, but in my opinion all four generals (maybe, maybe with the exception of Kunzite) are portrayed as very weak compared to their anime counterparts. First of all, they are all killed by the senshi, and second we never get to see them use most of their magic.
It might have something to do with the fact that the energy of a Shitennou doesn't really match the energy of Metallia, as seen in the scene where Kunzite feels bad after being in her presence.
Then there's of course that little fact that they can still be alive while looking like burned corpses. Does it count as a power?
Disclaimer: Sailor Moon © of Naoko Takeuchi.