You can buy some non-breed cats for about 500 yuan, but the specific cats you can buy will be affected by factors such as market supply and demand, regional differences, and the quality of the cats. The following are some possible cat choices within this price range. ：

Ordinary domestic cats: You can find cute domestic cats at local shelters or adoption organizations. They are usually relatively affordable. And also need a warm home.

Mixed Breed Cats: Mixed breed cats tend to be relatively less expensive and may have unique looks and personalities.

Kittens: Some kittens may cost around 500 yuan, but care should be taken to ensure they are healthy and well socialized.