the following recommendations are all I have seen.

Miyazaki Hayao's animated films:

City in the Sky

My Neighbor Totoro

Witch's Home Delivery

Spirited Away

Cat's Repayment

Hal's Moving Castle

Other animated films:

Heavenly Food, Taming Ji Long and Ratatouille.

These are the cartoons I watched around the age of 13 or 14

Cat in Tokyo, Magic Mirumo Mirumo

Inuyasha, Detective Conan

Digital Baby and Doraemon.