Are there any other anime similar to pic related in tone?
Not specifically music related, but more "grounded" I guess.
Planetes has the most convincing hard sci fi I've ever seen in anime.
Let it be on planet Earth or in fucking space, early to late 20's existentialism is universal to all mankind.
Besides the ones mentioned: Welcome to the NHK, Saraiya Goyou, Only Yesterday, Usagi Drop and Ojisan no Lamp.
Also, this season has Shouwa Genroku Rakugo. There have been two episodes so far and it's really good.