In the sense of removing books from bookstores, Amazon did ban a broad category of books. [2]
In the sense of literally burning books, I'm don't know of any recent instances in the US by either side. But I know of one example in Canada. [3]
[1]: https://www.newsweek.com/schools-drop-kill-mockingbird-requi...
[2]: WSJ: "Amazon Won’t Sell Books Framing LGBTQ+ Identities as Mental Illnesses" https://archive.fo/v5rWn
[3]: https://nationalpost.com/news/canada/book-burning-at-ontario...
On the other hand, this happened https://twitter.com/cjtackett/status/1486788612511383553
[1]: https://www.granburyisd.org/site/default.aspx?PageType=3&Dom...