Nuclear doesn't either. It's just that we're much safer (and made more scared) or radiation. We're overly cautious. It's actually been shown that a little bit more radiation than background may actually be good for you.

(Edit: Watch this before you downvote: https://youtu.be/gzdLdNRaPKc)

Three mile island, Fukushima, and Chernobyl are pretty much safe. (Chernobyl is slightly more dangerous, because there's the potential for hot debris, but that's unlikely at this point. If you're careful, it's safe. If people were to live there, it'd be safe wherever they are, as they'd ensure there's no hot objects.) The last reactor at Chernobyl shut down in 2000, meaning they were working there and operating it for decades safely after the disaster. Three mile Island was operating until 2019 safely, and since there have been plans made to bring it back online.