Even my closest friend had a "fit" reading about the alley cat. In the list of breeds they have a more sophisticated yet homogenized name "moggie".
So, this is an alphabetical list of many cat breeds. Since there are SO SO many pages online with fantastic photos and profiles of these breeds I am only listing the names.
often these are viewed in a mixed breed form and are very common as Household Pets or Moggies
Don Sphynx or DonSkoy is hairless
sometimes called Alley Cat!! See American Shorthair above. All of my cats have been moggies.
Maine Coon I love these huge furry cats!
Minskin is a hairless breed
Persian (Modern) One of my neighbors has 3 Persian cats, all indoor cats.
Persian (Trad) Peterbald
Sphynx is a hairless breed
Ukrainian Levkoy is hairless
Ussuri is one of the hairless breeds
The site I enjoyed the most with profiles and photos, aside from Wikipedia is
Pictures of Cats. Have fun.