Teleportation: Zeref is capable of teleportation, however nature of it ability is unknown.
Telekinesis: Zeref is capable of moving objects and even humans with just power of will (as it was shown in the case of E.N.D book and Makarov Dreyar).
Bullet Magic: A type of Magic which allows Zeref to produce various types of Magical ballistic projectiles out of his hands to attack opponents. Zeref points with his index finger, which allows him to fire Magical bullets from his stretched out finger.