My kids really get me! I got this yesterday for Father's Day and am finding it an interesting read:
https://www.amazon.com/DC-Comics-Year-New-Chronicle/dp/1465485783It goes through each year starting in 1935, and for each year has a two page spread that talks about interesting DC related comic releases or events that happened that year, as well as a small footnote area that mentions some important events of the year in general.
Lots of great art, a cool intro from Paul Levitz and lots of interesting content.
What I found extremely interesting was that the content and discussion has a lot of variety around the different characters and titles that DC publishes until the book gets to the 2010s, when the content very quickly sifts down to characters and books that are JL-character related (Supes, Bats, WW, Aquaman, Flash, and their respective family).
Also, in case anyone's wondering, the last mention of the LSH in the book is 2009 where they are mentioned in the article about the Superman Secret Origin title. The last mention of them as a published title are two quick mentions in 2008 - the Legion of Three Worlds related to the Final Crisis that July, and in the "also this year" column a mention of Shooter's return to the Threeboot in February.