Researchers asked U.S. regulators to pull some sunscreens from the market, including brands such as Coppertone, Banana Boat and Neutrogena, saying they’ve found evidence of a potential carcinogen.

Sunscreens containing two harmful petrochemicals, avobenzone and octocrylene, would be banned from sale in Hawaii under a bill passed Tuesday by the state Senate. “This is great news for our imperiled ...