One famous cartoon dog with a mustache would be Spike. Spike is Charlie Brown's popular dog Snoopy's brother, who lives in the desert.
Huckleberry hound
The cast of Death Wears a Red Hat - 2008 includes: Neil Howman Chand Martinez as Stolle
Of course not! Jaden Smith wears an array of colorful jeans and stuff, but he doesn't wear his hat on his pants. He wears his hat on his head while his braids flow underneath!
Applejack wears a stetson.
Gregory Porter wears his signature hat as a personal style choice that also carries a deeper significance. He often mentions that it represents his mother, who wore a similar hat, and serves as a tribute to her. Additionally, the hat has become a recognizable part of his identity as an artist, helping to distinguish him in the music world.
Huckleberry hound
Luigi
It may be "The Cat in the Hat", or is that a red one?
Cookie from Beetle Bailey by Mort Walker
A crown?
Plucky Duck was on the Tiny Toons and he is green but does not usually wear a hat. Count Duckula is a green vampire duck who craves carrots.
Lynn McMasters website
Lynn McMasters makes them. Google her website
The diving bell spider wears a water hat.
catdog is a example of a cartoon that starts with letter c
The spider that wears a raindrop hat is called the "water droplet spider."
The caterpillar you're thinking of is likely "Caterpillar" from the animated series "The Very Hungry Caterpillar." However, if you are referring to a character who specifically wears a green hat, it could be "Inchworm" from the children's show "The Magic School Bus." In either case, both characters are associated with educational themes and are well-loved in children's programming.