Since her introduction, Frost has displayed the telepathic standards of broadcasting and receiving thoughts, mind-control, altering perceptions and memories, projection of offensive blasts of psionic energy causing mental pain or unconsciousness, astral projection, mind switching, brain engram modification, mental sedation of unconscious victims, induction of mental pain by touch, and limited pychometry.
Frost is also very adept at performing 'psychic surgery': the utilization of pin-pointed psionic energy to exert absolute control over individual brain functions such that the physical form can be manipulated (i.e., injuries healed, disabilities repaired, the nervous system, etc), a sub-skill of telepathy unusual for even the most powerful of telepaths, but one that Emma is keen to utilize whenever the occasion benefits her.
Frost's abilities rival that of Charles Xavier, her incredible power and conniving ways are evident in her first appearance whereby she manages to capture and sedate him. Frost has been cited as a "World-class telepath" and a "Psi of the Highest Order" capable of extraordinary telepathic feats.
Oh... That's just Emma Frost.