What type of Chinese food are you looking for? Lao Sze Chuan is very good for Szechuan, as is Double Li. I slightly prefer the atmosphere at LSC though, and the complimentary spicy cabbage that starts off every meal is fantastic.
If you want Cantonese, try the "Little" Three Happiness (the small location on the south side of Cermak). Great salt & pepper shrimp, pan fried noodles and bbq duck and pork.
I too like Moon Palace. Ed's Potsticker House is not so far from Chinatown and I think the food there is excellent.
Others really like Mandarin Kitchen, but I have never been. I also really like Shui Wah, although I typically go for dim sum.