"Excellent compilation", eh? So why only four stars?
Well, the track selection is really good, bringing together almost all the best of Muddy Waters' rough, muscular blues. Or rather, the best of 1947-55, which is why this is "only" a four star-compilation: It's not a career spanning retrospective, and it doesn't work all that well on its own.
But get this CD along with its companion volume, "His Best: 1956-1964", which also features 20 tracks, and you'll have a really fine career overview, second only to the three-disc "Chess Box" set (and perhaps the 50-track "The Anthology: 1947-1972").
This CD only has one significant flaw: A production error means than a sloppy alternate take of "Hoochie Coochie Man" is included instead of the master. Otherwise, it's just about as fine a compilation as you could wish for, including Muddy's first single, the slashing acoustic slide guitar blues "I Can't Be Satisfied", and tough, electric Chicago classics like "Honey Bee", "I'm Ready", "Trouble No More", and "I Just Want To Make Love To You".
Just remember that this isn't the definitive word on Muddy Waters - he made superb songs after 1955 as well.