Maybe you could consider 'Black-ish', although it's not strictly a cartoon. It does offer a comedic look at a modern black family and their experiences.
Possibly, the story could be about the cat's determination to heal and the lessons it learns during the process. Maybe there's a surprise twist where its broken leg leads to a special opportunity or discovery.
Well, a black and white cartoon coffee cup could have a minimalist design. Maybe just a few bold strokes to define its shape. Also, the contrast between black and white could add a touch of drama or mystery.
The humor in the Superman cartoon comes from its exaggeration of Superman's powers and the comical consequences that follow. Additionally, the cartoon's light-hearted tone and funny sound effects contribute to making it funny.