Here you can find some famous Whiteman works, such as a wonderful, capricious "Whispering" (pretty clear recording, although with reduced basses) and a cool "Wang Wang". "Three O'Clock in the Morning" is also well-known, but I am personally not a fan of this corny waltz. It's not bad, but I can easily live without it. Although "What'll I do" is basically of the same genre, somehow it moves me much more.
There is also a decent version of "Japanese Sandman", which I find enjoyable.
Overall this collection is definitely worth downloading. Be sure to check out other Whiteman's works here, if you are not so familiar with him.