The most common nerve involvement is dislocation of Lunate is -
Dislocation of carpal bones 

Dislocation of carpal bones may be of two types:-

1)  Lunate dislocation

Lunate dislocate anteriorly but the rest of the carpals remain in position.
Complications may be AVN, osteoarthritis and median nerve injury.

2)  Perilunate dislocation

The lunate remains in position and the rest of the carpals dislocate dorsally.
Median nerve
Anterior interosseus
Posterior interosseus
Ulnar nerve