Dr. Frasier Crane ( Kelsey Grammer ) . Daphne Moon ( Jane Leeves ) . A spin-off from Cheers , Frasier stars Kelsey Grammer as psychiatrist Dr. Frasier Crane ; David Hyde Pierce , John Mahoney , Jane Leeves , Peri Gilpin , and Moose ( later , Enzo ; both Jack Russell Terriers , uncredited ) .