There is some of that Ghibli whimsy, at least with the little dudes. I could certainly call it an influence, even though they're not similar in tone overall. Maybe Season 2 will end with Baylan angering a nature deity and getting destroyed for his hubris like Princess Mononoke? Filoni previously worked on Avatar: The Last Airbender which had quite a bit of influence from anime in general and Ghibli in particular and basically ended their first season the same way, so I'm sure he's familiar with it.
Purgil = kaiju seems more tenuous to me. The similarity seems to me to basically just boil down to "they're big" and Star Wars already had the exogorth. I guess we do get to see purgill trash a military force in Rebels, which is classic Godzilla stuff. But we don't tend to see kaiju flying in space a lot, Godzilla vs. Space Godzilla notwithstanding.
So, I mean, I guess? Neither of these are especially uncommon things to reference in the world of film-making.
(snip)
What was the first? Wait, Obi-Wan did it in Tartakovsky's Clone War cartoon, right?