Note: Not all fake books or real books have the same format, most will have sheet music with chords marked, some also have lyrics, a few have tablature, they are sometimes also available in different keys and arrangements to suit different instruments.
For an excellent collection of fakebooks to buy, checkout www.sheetmusicplus.com, who have a selection of some 1200+ to chose from, they also have good search facilities AND include content indexes for their books.
Song/Tune Title
Book
Cute
SRB
Cute
UJFB
Cute composed by Neal Hefti
JJRB
Cuts Like A Knife performed by Bryan Adams
CRFB
Cutty Wren, The
FFB
Czardas (D.Fledermaus) composed by Johann Strauss, Jr.