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For the first, perhaps Heathcliff? The only cartoon I remember of him involved him living in a junkyard with his friends, but the newspaper cartoon featured him as part of a family, so they might have made a cartoon of that.
The trope is Oven Logic; I can't see anything on the trope page that looks like what you're looking for, though.
Could be the English dub version of "Billy the Cat". https://www.youtube.com/watch?v=aGHFMT-j1ts

2 here. 1. A British (probably) children's cartoon, from the early-mid 00's, about a family and their cat. The show revolved around this cat's antics, which usually included the cat being naughty. I can't remember the cat's name, but I think he was orange, and no, it's not Garfield and Friends. Basically, think Horrid Henry meets Garfield.
2. A cartoon about a boy prince and his band of adventurers, which include his unwilling servant and protector, whose name may have been Quest, and this person's friend who was a cyborg, and I'm pretty sure was black. I think he could spit metal shards at things or something. Basically, these adventurers are trying to save their world from some evil, yada yada, i think they were looking for some atifacts of power like magic swords and stuff. I distinctly remember there being an episode involving talking rocks, and the aforementioned protector of this annoying little prince said "I hate X" at least once each episode, and he was voiced by Joe from Family Guy.