Based on Volume 12 of the web novels on which it was based, the anime’s third season was called “Log Horizon: Destruction of the Round Table.”
Mike Yager will voice Shiroe, Jad Saxton will be the voice actor for Akatsuki, Andrew Love will be the voice actor for Naotsugu.
The average rating for this show on MyAnimeList is 7.94, and it has a good rating of 7.6/10 on IMDB.
If the anime keeps to the patterns of its source material, the fourth season might be called “Nightingale’s Song,” which is the name of Volume 13 of the book.
The first three seasons covered 12 of the 14 books in the series. There were hints of two more books back in 2018, but we haven’t seen them yet.