If this is your only Sinatra purchase, you are missing the enjoyment of the concept albums, which were assembled carefully to create a mood and an experience -- swinging, melancholy, etc. Ironically (or maybe not!), the best songs on the concept albums were not always the opening tracks (Come Fly with Me, Come Dance with Me,...), and by limiting yourself to this set you may be missing some great tunes.
There are several less available concept albums, such as Close to You (mentioned by another reviewer below)and No One Cares, but these are not represented here -- which would have made this set much more attractive to Sinatraphiles who already own everything on Classic Sinatra. Capitol would have served us better by finding something new in the Sinatra archives (such as the great 1957 Seattle concert released last year!) rather than resequencing admittedly great songs that were already readily available. In the meantime, I would strongly recommend to serious fans to find used copies of the more obscure Capitol albums: they do exist on CD, and if you are patient you can find them reasonably priced on eBay or other auction sites. Or you can buy the big Capitol set for a few hundred dollars...
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