Not a new entry, but there is a master system port of Rainbow Islands.
Boss fight @ 44:37
Good spot! Updated.
Did you already get the two Zelda DS games? PH and ST each have them:

These are new to me.
Do they have a name in the Zelda series?
Found them as “face statues” and now wondering if they’re close enough to moai to be included?
(Sorry)
I don’t think they have a name. 
This was what an faq called them, eg.
This was also released on the PS1, and also on the Saturn in Japan as Thunder Storm.
Edited, thanks!
I don’t remember this being listed: Headup uses a moai head for their logo.
https://www.headupgames.com/
I don’t know the best way to add that. But it’s a cool logo.
Finally found one lol
It’s a free shmup called Spolous that’s a Gradius clone, so of course they had to include a Moai stage.
Nice, added!
A rare gem indeed! Thanks so much for this one
Nice find! Added.
Trivia: that’s the third game with a omega in the title to feature moai.
While playing RE Code: Veronica yesterday, I spotted these guys. Those are Moai, aren’t they? Sorry for the crappy photo, I’m playing on Dreamcast so I can’t make screenshots.
They look like severed heads haha
difficult to say, can you find this room in a long play?