It's 3.5 stars.
The problem with elucidating the 100 "Most Important Recordings" is that these are only "most important" to whomever is writing the book. Your idea of "most important" is probably not what the author's is.
The other problem is how a "most important" can only be read within the caveat of "at this point in time". If you pick this up, as I did, some 18 years after publication date, a lot of music has come out which should be on a "most important" list but won't be. As long as you understand this is a "most important" up to the year the book was produced, you can see that problem for what it is.
The main reason I can't give this more stars is the limited view of jazz provided. John Coltrane was, unarguably, a giant of the saxophone. He did not, however, merit three mentions on the list. Miles Davis, whose album "Kind of Blue" most jazz aficionados list at the best, only merited two mentions. The author's bias against swing and Dixieland was evident in no albums cited from those genres. Dixieland and the blues are where jazz started and this oversight renders the list suspect.
The author should have put constraints on his list. He should have picked one album from any artist he chose. This would have given readers, 100 different artists to find.
The lack of women on the list is also abhorrent considering there are a plethora of women singers who survived the downturn in jazz in the late 1950's and made names for themselves. Carmen Macrae is in the supplemental list. No mention of Anita or Peggy and Peggy was writing music.
And the author makes a point to say, "I chose some records I have or have heard but you can't get anywhere." What the...? That disqualifies your opinion on that record. If I can't find it to listen to it, telling me it's great is meaningless. Nothing unavailable at the time of publishing should have been on the main list.
Therefore, take this book with a large grain of salt. For me, what was interesting is seeing who the main players were as sidemen. Names showed up again and again to assist the person who headlined the record. Now I'm interested in reading about them and hearing their music. Use this as a springboard to jazz music but take the pronouncements lightly. There are other places to find lists of suggested albums you should have. Heck, with my collection, I could do a 50 best based on my personal tastes and have it be way more representational of all jazz than this book.