Plot hole: Superman traps the supervillain (whose power depends on sunlight) inside of an elevator to incapacitate him. Superman then ripped the elevator out of the building. He then plants it on the far side of the moon. Later on, sunlight starts to shine into the elevator through a slit at where the doors meet. The villain of course recharges and comes after Superman again. Now, if light could get through that crack there, then why couldn't it get through when the elevator was ripped out of the building in BROAD DAYLIGHT?
Plot hole: When Nuclear Man sees a picture of Lacy Warfield on the newspaper he decides to go after her. When confronted by Superman he asks "Where is the woman?" Superman responds that he'll never find her. How could Superman know which woman Nuclear Man was talking about? There was no indication that Superman knew that Nuclear Man was looking for Lacy.
Plot hole: Nuclear Man makes his appearance at Lex's house, walks a couple meters and faints "because of lack of sun" according to Lex. This makes no sense, the place is surrounded by windows and there are beams of light everywhere. There are many scenes where he moves around in rooms with the same or less light without suffering the least damage. In this specific scene he simply faints because it's good for the plot.
Plot hole: Superman manages to find bricks to rebuild the Great Wall of China. While it's true that he could have created the bricks from stones, the humongous explosions of the wall, and the vast grounds surrounding the area, show that there is no place, no material, and no way even for Superman to create 1,000 bricks from nothing.