The Sinatra "Best of Capitol" box set. Came out in early 1990s.
And Capitol Studios LA is where Robbie Williams recorded his Swing tribute to the Rat Pack with Count Basie Band. I promise you it is the real deal - superb drumming from Harold Jones and engineered by the incomparable Al Schmitt. If you don't have it and you like Sinatra then don't be cynical as it is a refreshing and worthehile rework of some old favorites...