Continuity mistake: When Clamp visits the office, there's a man with grey hair walking from the right side of the screen. A frame later he's moved 15 meters to the left.
Continuity mistake: When Futterman throws the gremlin onto the cement, before moving the slide, the Gremlin's neck and back have no cement, but a frame later they're totally covered in it.
Continuity mistake: When Forster is seduced by the Gremlin, his hand alternates between being on her shoulder or on her back.
Continuity mistake: When Gizmo dances in the lab, the position of the cage door, and the distance between the door and Gizmo changes between shots.
Continuity mistake: When Futterman is being attacked by the Gremlin, his wife is on the right, a frame later she is standing on the left side, several meters away.
Continuity mistake: After Clamp kills the Gremlin the desk is clean. A frame later, when Billy shows up, there's a gallon of goo all over the place.
Revealing mistake: When Clamp has the Gremlin attached to his chest, his left hand is very obviously puppeting the Gremlin's arm. Clamp's fake arm is very long and makes a weird twisted bend around the Gremlin's back.
Continuity mistake: When water falls on Billy's desk, a small squared object next to the pens keeps changing positions between shots.
Continuity mistake: The lettuce leaf on Forster's shoulder changes shape between shots.
Revealing mistake: When the female Gremlin jumps on Forster, his arm is obviously controlling the puppet. His fake arm's awkward position plus a fake chubby hand reveals it.
Revealing mistake: In the kitchen, Crazy Gremlin throws an ice cream at Kate, which doesn't produce a stain and bounces around, revealing it's a rubber prop.
Continuity mistake: Amount of green flesh on Clamp's face and suit when killing the Gremlin disappears / reappears.
Continuity mistake: When the old man is fixing the water fountain, a towel appears / disappears between shots.
Continuity mistake: After water falls on Billy's desk, the table and floor appear totally dry.
Character mistake: Given Billy still remembered and recognized him it seems strange Kate doesn't when she mistakes Daffy for Gizmo.
Suggested correction: Billy spent significantly more time bonding with Gizmo in the first movie - days and days. By contrast Kate had very little actual time with him.
Continuity mistake: When Billy is tied up in the dentist's chair, he's got a single wire tying him up, but a double wire in the close-ups. The bandage on his forehead is also either covering his eyebrows or not, depending on the angle.