Please note that this list is centered around the British and in some case American definitions of the cats. Those of you living in more exotic places might not agree with everything here. A "Malayan" cat for e.g is a Burmese cat with the "wrong" colouring. Malayan is merely the alternative name for these Burmese. I would be happy to hear your opinion.
All these cats above are 'recognised' but there is one type not listed above because they are very difficult to look after. They are the 'ferals'. Ferals come in all shapes and sizes and I suppose are strictly speaking wild untamed cats that don't trust people very well. However contrary to what you may be told, with a lot of tender loving care they can become very affectionate pets.