Bob Fosse was one of the greatest choreogrpahers Broadway has ever seen. His credits include Chicago, Sweet Charity, Cabaret(Film Version), Bells Are Ringing, How to Suceed in Business without really Trying, Damn Yankees, other musicsl, award shows, tv specials, and films. Fosse(the show), currently playing on broadway is a tribute to this choreographer showcasing some of his greatest work. I recommend going to see this show.
Fosse helped to discover many memorable dancers such as Ann Reinking, Gwen Verdon, and Ben Vereen(currently starring in Fosse on B-way).
Bob Fosse had three wives including Gwen Verdon, whom recently passed away. :( He wasn't your typical b-way choreographer, he took ideas from many places that might have been unusual to others. **I recommend reading Razzle Dazzle: The Life and Work of Bob Fosse, It was outstanding.
Other Notable Choreographers are..
Jerome Robbins(West Side Story)
and whomever else you can think of!