Wow! Looks like Bun & Bunee is not available on any streaming services in the world!

Bun&Bunee is a South African CG animated series created by Luma Animation which first aired on SABC3. The series premiered on December 5, 2009 and was re-run ending on May 10, 2011. Distributed by Bejuba the series has been licensed to a variety of broadcasters around the world.