There are quite a few American cheeses, even if only one commonly gets called "American Cheese." For example...

If I ruled the universe, the cheese best known as "American" would be Jack Cheese. Sweet, creamy, and complex, it usually comes from California, USA.

The Tillamook County Creamery Association is best known for its Cheddar, but this Oregon, USA-based plant also produces Monterey Jack, Colby, and Smoked Cheddar.

Bel Gioioso Cheeses have been made in Wisconsin, USA since 1979, using Italian equipment and traditional Italian methods. However, differences in local demand as well as in climate and grazing have given these cheeses their own character.

Maytag Blue does indeed come from the same family as Maytag washing machines. A creamy blue cheese sold mainly via mail-order, Maytag has a dense, crumbly texture and spicy flavour.

Cheesemaking was introduced to Mexico during the Spanish conquest in the 1500s. Asadero is a fine melting cheese: white, supple, and gently sweet. Queso Anejo, on the other hand, is more crumbly and salty.

The Canadian cheese market is dominated by Cheddar. Canadian Cheddar is often more acidic than traditional British Cheddar.