If you do not know exactly what you are looking for, viewing images with different breeds of cats might not be the best idea. You should not decide on one breed only by checking its appearance. Some breeds might be very expensive or not right for your family or house, especially if you have children or any other pets. You should also look up some information about the temperament, the activity level, the special needs and the possible health concerns of a breed you are interested in.
Once you have got a general idea of what you want, it will be easy to look for a candidate at a shop or at a pet shelter.
If you are looking for a short-haired cat, the most famous breeds of cats according to this criteria are the Abyssinian, the Siamese, the American Shorthair, the Bengal Cat, the Bombay, the Chartreux, the Colorpoint Shorthair, the British Shorthair, the Egyptian Mau, the Korat, the Ocicat, the Russian Blue, the Singapura, the Exotic Shorthair, the Tonkinese, the Japanese Bobtail and the Oriental Shorthair.
If you are in search of a long-haired cat, you might choose from the Birman, the American Bobtail, the Persian Cat, the Ragdoll, the Siberian, the Somali, the Turkish Angora and many, many others.
If you would like a curly-coated cat, you should look up the American Wirehair, the Cornish Rex, the Devon Rex, the LaPerm or the Selkirk Rex.
The first thing you should decide before you get a pet is the amount of money you are willing to spend. There are some breeds of cats that are rare and very expensive, like the Ashera, the Bengal Cat, the Savannah, the Sphynx or the Peterbald, and some common breeds that are affordable at any pet shop. While a cat with a pedigree can cost thousands of dollars, you can get a pure-breed cat (yes, you do have chances to find one) or mixed-breed cat for free, from a pet shelter.
Another important thing that should be taken into consideration is the cost of having a specific breed. While any cat is prone to various health problems, there are five breeds that have been proven to require the highest cost for veterinary care, during their life span. On top of the list is the Siamese cat, followed by the Bengal, the Himalayan, the Maine Coon and the Ragdoll cat.
All in all, no matter what the main characteristics of various breeds of cats are, just like human beings, each cat is different and might act differently or have different traits, depending on its personal history, so choosing the perfect one for you might also involve a little luck.