There are a lot of pigeon breeds all over the world but to put them in simple categories we can list them as
Performing Pigeons
Show Pigeons
I don’t want to list the other kind of breed which is the utility breed where those kinds of pigeons are raised for consumption.
The most common breed that everyone had probably encountered is the Feral Pigeon. Feral pigeons are usually called the city pigeons or street pigeons. In New York (manhattan) they are usually called flying rats since they pick on scraps of food they can get on the streets.