Hi, Zhenya:
I live in the area (though not in the city itself) and may be able to give you some additional info. Will your friend be visiting the city or a part of the suburbs? How far outside the city would he/she be willing to travel to see a good show -- and in what particular direction from the city? Bear in mind that there are also venues nearby in southern New Jersey and in Delaware, too.

I'll be back with some links for you in a few minutes!
Sharon