Well, to be fair, many times it is the companies themselves that, whenever they feel that somebody could complain, quickly rush to cover their metaphorical asses.
In fact, it was Walt Disney himself, if I recall correctly, that asked for Sunflower to be cut from subsequent releases.
And Tom & Jerry were censored, when sometime during the 60's Mammy Two Shoes was rotoscoped out of the cartoons and a thin irish lady was put in her place!