Dry leasing = just the plane (to be operated on the lessee airline's own AOC)
Wet leasing = the plane and crew (and thus usually operated on the aircraft owner's AOC)
Damp leasing = (typically) the plane and the flight crew, lessee provides their own cabin crew
"Only one type of lease"? Gosh, we haven't even got started on finance leases versus operating leases, or the various wild and wonderful tax leases, or...