Normal damage is one of the three types of damage in the game, with the others being Fantastic Damage and True Damage. As in most RPGs, Normal damage is delivered via attacks that use physical force (punching, kicking, most weapon attacks, etc.).
There are many heroes in the game that have at least one Normal damage ability. They are as follows:
WALL-E's "Extinguish" deals damage over time to enemies he attacks with a fire extinguisher, and also has a chance to freeze them for 5 seconds.
WALL-E's "Compactor" creates a garbage box and pushes it at the closest enemy, knocking them back and dealing damage.
Ralph's "Wreck It" deals damage by having him slam the ground to damage nearby enemies and stun them for 3 seconds.
Ralph's "Grand Slam" deals damage by having him slam his fist down on a single enemy, stunning them for 7 seconds.
EVE's "Hand Cannon" deals Normal damage from her plasma cannon, which targets the closest disabled enemy (or the closest enemy if none of the enemies are disabled); this deals full damage to the targeted enemy while other nearby enemies receive partial damage.
EVE's "Ion Shock" fires a charged blast at the enemy with the highest skill power to damage and stun that enemy for 7 seconds.
Calhoun's "Laser Blast" fires a massive laser beam that deals normal damage to all enemies.
Calhoun's "Dynamite Gal" has her throw a grenade at backline enemies, dealing damage to them.
Calhoun's "Cybugeddon" has her throw a Cy-Bug at enemies, which deals damage over time.