I also like the 1000 Chinese recipe cookbook for a good general reference cookbook.
For some fancier foods, The Heritage of Chinese Cooking, by Elizabeth Chong is good. In addition to nice pictures, there are interesting write-ups.
For simple food, the Easy Family Recipes from a Chinese-American Childhhod, by Ken Hom is good. A few of the recipes I tried ended up too salty, but that is an easy adjustment to make the second time around.
An Asian cookbook, though not exclusively Chinese, is Essentials of Asian Cuisine by Corinne Trang. There is a good explanation of differing ingredients as well as informative write-ups of each recipe. She includes recipes for a variety of sauces, so you don't have to rely on store-bought sauces unless you want to. It is a thick book -- lots of recipes. The Chinese recipes I have tried, the Asian cuisine I know most about, tasted authentic.