Continuity mistake: When Gus is falling from the building on his skis the sky changes colour from shot to shot.
Continuity mistake: When Superman enters the acid storage room we have a glance at the temperature needle and can see it is way to the right; but the chemist is calm and no alerts are active. Minutes later, before the place explodes, while Superman is freezing the lake, the lights in the room turn red and the chemist freaks out, but the needle is further from the danger zone than it was when we first saw it.
Continuity mistake: After the truck falls off the bridge, before Superman arrives a red truck passes by a green one and keeps on to the other end of the bridge. When the angle changes, a split second later, the red truck is now several feet back, not running and parked next to the green truck.