I only knows some anthro comics but not quite in the caliber of Tamberlane.
Henry Hare features an adult rabbit being a guardian to a boy. Action adventure story (some parentings are present) Has a lot of swear words.
The Chronicles of Adala tells a story of a orphan girl & her protective guardian. Not much focus on parenting but the ongoing tragic occurances. This action drama is really intense, gloomy & bloody.
Also lastly, MAOR features a young teen cat boy. Also not really focused on parenting though, but more on teen protagonist's journey, ordeals & his POVs. The story vibe is heartwarming + lingering melancholy.
Hope you find what you like. 