Burmilla cat - photo copyright perlmonger. Published under a creative commons license which allows for the cropping that has taken place. Thanks for license.
I've wouldn't be doing this mini-website justice without listing some selected Burmilla Breeders. Here are some websites that I like. I can only filter breeders from their websites. Thereafter it is a matter of visiting, which is pretty much a must do (note sometimes people remove web pages and websites so although these are live links as at the date of the post they may no remain that way):
GEMS's and Araboth Burmillas and Asians
This is a well established cattery (about 9 years or more it seems) based in Polegate . This is on the south coast of England, a nice part of the country.
Burmilla Cat Club
This is a UK cat club with a fine list of Burmilla breeders in the UK. The link takes you straight to the breeders page.
Miamber Burmilla and Burmese
Located in the northern suburbs of Melbourne, Victoria, Australia. A well established small hobby cattery - probably the best kind of cattery as profit is not usually the prime concern.
Located in Wollstonecraft, New South Wales, Australia.
Note: I had difficulty, as you might realize, in finding many Burmilla Breeders. This is a relatively rare cat - ranked 9 out of 10 on my analysis of the rare cat breeds. I could not find a USA breeder. And I looked on the internet for a good 30 mins. The breeders mentioned were the easiest to find and the UK is possibly the place for Burmillas judging by the number of breeders there. I am sure that there are US breeders but they don't jump out at you on a Google search - sorry.
Burmilla Breeders to Burmese cat