Even the mighty Superman can be bugged by things once in a while....
...especially when those bugs are really giant, invading insects, as they were in Action Comics #326 (July, 1965) as shown in the story by Otto Binder, Curt Swan and George Klein (with Swan and Klein showing the danger on the cover!).
The Legion Of Super-Creatures
Later still, Superman tried, and failed to rip up a giant spider web near the Daily Planet, nearly ending up eaten by a giant spider as he was caught in its web. Why were these creatures so harmful to Superman? Were they from Krypton? The army tried green Kryptonite against them, to no avail. Superman, searching for clues at his Fortress of Solitude, found an alien ship, and went to check it out. Entering the ship, it closed the hatch behind him, and took him to the planet of Giantia, a giant world orbiting a red sun, where Superman found a cult of death worshiping aliens, who planned on using the super-insects to destroy 100 worlds after their own had ended.
A bit of luck saved Earth, and Superman, and, as any Silver Age fan who wants to read this tale of invading insect alien monsters, you can find it reprinted in DC Special #21 (April-May, 1976) or in Best of DC #42 (November, 1983)!