I thought I'd take the time to share some of my favorite X-Man's feats. Feel free to add your own if you like.
Rendering herself and her students invisible via telepathy
Making a large group of people not notice a giant monster
Creating lightning made of pure psionic energy
Showing resistance to fire as well as a degree of super strength
Creates a mental duplicate of herself
Gives Scott mental protection against the Phoenix
Creates an illusion of herself to trick Sauron
Demonstrating her H2H skills
Telepathically navigating Banshee at St. Louis
Puts a crowd of angry people to sleep
Mindfrying some Morlocks
Enhances her psionic powers via a diamond controlling an entire Kingdom Psionically and causing it to shatter
Emma tricks Cassandra Nova into entering an alien body
Emma reduces Kimura to tears
I'll upload more in a bit.