Wbatever you decide, try getting your tickets at the TKTS booth the same day your want to go.  They are usually 50% off the face price.  Go the location downtown for no lines.

TKTS is great or join Playbill.com it's free registration and all the shows with discounts are there.

You should like these musicals but check them out for your tastes. Billy Elliott or Bloody, Bloody Andrwe Jackson or Next to Normal -- all have very different stories with great nmusic.  The bi-polarism of Next to Normal makes some people sad though.

Time Stands Still and brief Encounters are dramas that are well written and with supurb performances.

Thanksgiving is a busy week but you'll find discounts and you'll love whatever you see in the live threatre.....

I'm generally not a big fan of musicals, but Fela is pretty amazing.

Book through
http://www.broadwayoffers.com use code FEPLM79* for better prices on any of the seats

http://www.broadwaybox.com/

Since it's the Christmas season, I would skip a show or the "usual" New York events, and instead do something like the Rockefeller Plaza Christmas Tree and skating rink, followed by the holiday window displays at stores like Saks Fifth Avenue (across the street from Rockefeller Plaza), Lord & Taylor (38th and Fifth Avenue) and Bergdorf Goodman (between 57th and 58th Street and Fifth Ave. on the West side of the street). You don't really get this in most other cities any more, and it's a great way to get into the holiday spirit, if you don't mind the crowds. There's also a great Christmas market in Bryant Park, behind the research library on 42nd and Fifth, as well as another skating rink and smaller, but still very pretty, Christmas tree.