Generally, mouse catching cats are not restricted to anyone breed for that matter. Its an issue of nurture not nature if my experience with them is anything to go by. Cats seem to have retained most of their pre-domestication characteristics and thats the reason they always seem to be on guard. Even family members are not regarded as hundred percent kosher. This goes hand in hand with their predatory instincts which centres on the aspect of live and let live. Most people make the mistake of pampering cats with all sorts of processed foods resulting in their losing of predatory instincts. Therefore, they can't be relied on to prey on mice and rats. Cats don't have high levels of cognition unlike dogs. Therefore, their training is not easy. The best approach is to feed them when necessary. Simply leave their plates with a reasonable amount of food and then leave them to supplement through hunting. Our cats are very skilled at this and can usually be seen lurking in a corner waiting for the opportune moment to strike at an unsuspecting mice.