Tile, wood & composition shingles
Tiles That Have Slipped Out of Position: Check the Building Paper for Damage When Repairing
Roof Tiles Cracked, Damaged or Missing; When Repairing Be Sure To Check The Building Felt Under The Tile
Cracked and damaged tile can be easily repaired or replaced, but the roof may still leak because of the underlayment under the tile.
Composition Shingle Missing or Damaged: Check the “underlayment, Installation and the Roofs’ Sheeting
There is more to replacing tore and damaged shingles, then just putting on new shingles.