Telekinesis, empathy (up to and including feeling people's deaths), mind-tricks, she can sense people nearby and if she's close enough to them (emotionally, not physically) she can tell who or where they are. Canon is sort of iffy on the extent, but she has some skill with telepathy, meaning that she can send people thoughts and images and read them from others and has been able to communicate that way. She has some minor healing capabilities, mostly for herself, though she has once or twice used them on other people more to get rid of discomfort than anything.

Jaina also has learned the more dark sidey things, like mind-wiping and the use of Force lighting (both of which just came WAY too easy to her, omg). She won't be doing this without a good reason, but she can.