The first result for a quick Google yields this case where 3M is being sued because a chemical they made contaminated a privately owned reservoir (some towns are also suing, because they also own water supplies contaminated with PFAS):
https://whyy.org/articles/n-j-towns-sue-makers-of-forever-ch...Water contamination lawsuits are as common as water.
Regarding air, in the town I live a cannabis product manufacturer is about to be sued by nearby property owners because their warehouse is emitting a noisome smell. I seem to recall the Siracha factory was hit with a similar lawsuit. It would not take much research to find other lawsuits that allege air contamination. I'm sure air contamination has been part of thousands and thousands of lawsuits.
Suing someone takes massive effort for uncertain results. Even if you have a slam dunk case you have to have some basic wherewithal regarding the legal system and not be afraid to show in court (say you have a minor warrant or are an undocumented migrant, or a documented migrant from a country with a history of deporting people who make probablems for big business).
It's far from ideal, and is also only possible once damage has been done.
Although I don't know what it looks like, I believe the next step has to include baking environment stewardship into the DNA of high risk companies. This might involve giving an EPA officer a board seat, requiring positive proof of emission safety and active monitoring of nearby populations rather than just waiting for the cancer patients to show up, etc.