Poultry is the class of domesticated fowl (birds) used for food or for their eggs. These most typically are members of the orders Galliformes (such as chickens and turkeys), and Anseriformes (waterfowl such as ducks and geese).
This page lists living orders and families of birds, class Aves. The links below should then lead to family accounts and hence to individual species.
Taxonomy is very fluid in the age of DNA analysis, so comments are made where appropriate, and all numbers are approximate. In particular see Sibley-Ahlquist taxonomy for a very different classification.