Some characters have (often tweaked) built-in items as special moves, smashes, or standard moves:

Bowser: Fire Flower (Fire Breath)
Charizard: Fire Flower (Flamethrower)
Falco: Franklin Badge, Ray Gun (Reflector, Blaster)
Fox: Franklin Badge, Ray Gun (Reflector, Blaster)
Link/Toon Link: Bob-omb (Bomb)
Peach: Parasol, Mr. Saturn (Parasol, Turnips)
Samus: Super Scope (Charge Shot)
Sonic: Bunny Hood (Running)
Wolf: Franklin Badge, Ray Gun (Reflector, Blaster)
Zero Suit Samus: Fan (Paralyzer and Down Smash)