What are some examples of 'common sense' which are nonsense?
Wikipedia defines common sense as "knowledge, judgement, and taste which is more or less universal and which is held more or less without reflection or argument"
Try to avoid using this topic to express niche or unpopular opinions (they're a dime a dozen) but instead consider provable intuitive facts.
More abstract concepts that generally trouble the intuition of many:
the irrelevance of laminar to turbulent flow
time and gravity are related
magnetism is not magic
entropy precludes perpetual motion
The sky isn't blue in many cultures. It's been shown that words for blue only occur in a language after that culture has discovered a blue dye. And that limitation in available words also constrains how you see and think about the world.
This is covered in Guy Deutscher's book The Unfolding of Language, which is an excellent read.
The sky is actually the entire colour spectrum with a bias toward the short wavelength end of the spectrum, which is why it appears pale blue-ish white.