Here are your winners (1st place votes in parentheses):

10. (tie) Grease - 34 points from 5 voters (0)

10. (tie) The Sound of Music - 34 points from 7 voters (1)

8. (tie) My Fair Lady - 35 points from 5 voters (0)

8. (tie) Chicago - 35 points from 6 voters (1)

7. Fiddler on the Roof - 39 points from 7 voters (0)

6. Cabaret - 44 points from 7 voters (0)

5. Mary Poppins - 55 points from 9 voters (1)

4. Moulin Rouge! - 69 points from 11 votes (2)

3. West Side Story - 70 points from 10 votes (1)

2. The Wizard of Oz - 71 points from 13 votes (2)

1. Singin' in the Rain - 91 points from 12 votes (2)
So...how many did you vote for? If you'd like to see yours and all the other votes, scroll down. A post has been added with all of them, but I have dated it prior to this post so it won't clutter the page.
Others receiving 1st-place votes: A Star is Born, Across the Universe, Beauty and the Beast, Hairspray, Kismet, Little Shop of Horrors, Meet Me in St. Louis, Ruling Class, The Band Wagon, The Music Man (2), The Nightmare Before Christmas, The Pirates of Penzance and The Rocky Horror Picture Show.
Finally, with 6 votes, Animated Films (7 if you count the vote for "Children's movies") have been chosen as the next genre to tackle. A number of other genres (Film Noir, Zombie Movies, Rock and Roll movies) tied for second with two votes apiece.
The poll is already up, and will be for two weeks - be sure to read the instructions. Go vote now so I don't have to hassle you later! Thanks.
One final note - I've heard that Mister Poll doesn't get along well with Internet Explorer 8. If you are having troubles, please try Firefox or Safari.
http://www.misterpoll.com/polls/358345