Eh. Everyone has what they like and dislike so it's fine not to be into anime
Tbh it's an age old argument in what makes something a cartoon and what is an anime but they're both animated *shrugs* so I guess all it boils down to is country of origin. Take AtLA for example. It has a fairly similar art style to an anime but it's considered a cartoon.
So nope Lion King and other Disney films would not be considered an anime.
Manga is to comic books as anime is to cartoons more or less.
Edit: got beaten to the explanation haha