Recent lists of banned books for some states can be obtained from The Marshall Project. Scroll down to the line that says "Which books are banned in [state name] prisons?" and select the state you want. Most lists appear to have been obtained in 2022.
Older lists can be obtained from this source: the Human Rights Defense Center.
All of these lists are long, and can cause older smartphones and computers to choke. If you are capable of viewing only a short list, see the short list of popular books banned in Texas that was produced in 2019.