Animals seem to be a popular embroidery subject. They are everywhere online. I know that the Royal School of Needlework (RSN) teaches 'pet portraits' to their certificate and diploma (C&D) students, but it's not been available as a day class until recently. I had the good fortune to participate in the first offering of this online version of the class to non-C&D students.
These are some of the bits and pieces that I had acquired by the end of the class: