Well, from the research I've done and... just off the top of my head...
... Just off the top of my head.
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There is no official list.
Great American ballet companies are a matter of opinion. Yet, the New York City Ballet, American Ballet Theater, Pacific Northwest Ballet, San Fransisco Ballet, Miami City Ballet, Boston Ballet, Pennsylvania Ballet, Oregon Ballet, and other smaller-tier companies are considered at the top!
American Ballet Theatre New York City Ballet San Fransisco Ballet Pacific Northwest Ballet Boston Ballet
Not sure off the top of my head, but the major ballet companies are; The Bolshoi, The Kirov, The Moscow Ballet, and The St Petersburg Ballet. Often countries such as Russia have many many little companies that may exist and are supported by the small towns they are in.
1. The bolshoi ballet (Russia,Moscow) 2. The mariinski ballet (Russia,St. Petersburg) 3. The tchaikovsky perm ballet (Russia,Perm) 4. The royal ballet(England, London) 5. New york city ballet (America) 6. Het national ballet (Netherlands) 7.Cork city ballet(Ireland) 8.Ballet de Cuba(Cuba) 9.Ballet Irealand(Ireland) 10.Irish youth Russian ballet(Ireland) are mine but there are no offical lists.