Whether you're a casual fan or a total weeb, Japanese aficionados should check out WeebSimpsons. The Twitter page reimagines classic The Simpsons scenes and adds captions which harken to the Godzilla-fearing country.
While most of the page takes its humor from anime, you don't necessarily have to be a fan in order to appreciate it. From JRPGS to the language itself, the page takes references from Japanese pop culture as a whole.
That said, the funniest captions are based on Japanese cartoons, so it pays to have spent a couple of sleepless nights bingeing on them.
Check out the rest of WeebSimpsons if you have the time for some funnies. The account is fairly new but it has some hilarious comic shorts and obscure references to even the most niche anime.