Hello and welcome to this thread. IMO the best way to start with Japanese Jazz are compilations J Jazz: Deep Modern Jazz From Japan made by BBE and Spiritual Jazz 8 dedicated to Japan made by Jazzman. From there, you can go in many different directions depending on the tracks you like the most. Though, if you want to go deeper into Japanese jazz, I strongly suggest following
Project Re:Vinyl records serie selected by Yusuke Ogawa.
Back to Sounds Of Three Blind Mice Vol1, this is my best sounding record in my collection and an excellent start to dig the most famous J-Jazz label. If you are into CD as well, Craftman Records are reissuing a lot of TBM albums under there
Supreme Collection serie (80 so far). It is, IMO, the easiest and cheapest way to have a physical copy of these albums.
I also suggest giving an ear to
Days Of Delight, a youngest J-Jazz label (CD only). There are only 16 releases so far but all very good with a mix of legends (Kosuke Mine or the late Hidefumi Toki) and younger artists.