I do understand that banning books and rewriting history has been occurring throughout various governments, how common was the act of public burning under any regime? What was the first instance of book burning?
While there's always room to provide further examples and expand on this topic further, I touched on book burnings at the 1817 Wartburg Festival in an answer I wrote 2 months ago.
A major turning point for the Burschenschaften came in 1817. In October of that year, members gathered at the Wartburg Castle in Thuringia to celebrate the 300th anniversary of the Protestant Reformation and the fourth anniversary of the Battle of Leipzig. There, the students listened to pro-German speeches and symbolically burnt books and pamphlets, including the Napoleonic Code, texts that encouraged collaboration with the French, and tracts that criticized the Burschenschaften (in The Pursuit of Power: Europe 1815-1914, Evans notes that the students actually burned wastepaper labelled with the different titles of the text; the students couldn't actually afford to burn expensive books).
It's worth noting that while these book burnings were motivated by German nationalism, they were not state-sanctioned. In fact, the book burnings at Wartburg and the growing tide of nationalism at German universities provoked severe reactions from the powers that be, including a reactionary crackdown against student societies in German-speaking Europe.
Edit- clarify that the book burnings took place at Wartburg and not at universities.