They are grotto enemies. As such, there isn't a specific way to 'find' them, just to keep levelling up, keep obtaining higher level grotto maps, and eventually they'll show up while exploring.
They are only in grottoes. Look around level 50+. They appear often with slugly betsys, charmours, gigantes and (sometimes) metal king slimes.
Go to Gleeba, go into the dance hall, and speak to the lady with the pink hair, next to the door inside. This is Applaudia, she will give you the quest to unlock the Luminary vocation. You have to fight a Moai Minstrel, which is a grotto enemy. You have to kill it with Hot Lick, but be careful, as Moai Minstrels wil self destruct using Kamikazee when they take a lot of damage.
Moai Minstrels are grotto enemies. Just keep exploring grottoes and you'll eventually find them, there's really no way to predict if they will show up or not.
you go to the dance hall west of the mirage mahal palace and speak to a girl outside the dancer's change room with a quest bubble thing (blue) over her head. then you have to defeat a moai minstrel with a hot lick attack. you need a minstrel with 4 lithiness skill points. moai minstrels can be found in lv.50 and up grottoes.
The moai, large stone statues, can be found on Easter Island, also known as Rapa Nui, a remote island in the southeastern Pacific Ocean.
Easter Island
The moai statues on Easter Island were known locally, but their existence became well-known to the outside world when the island was first sighted by a European, Dutch explorer Jacob Roggeveen, in 1722.
Counterfeit Island
The Moai got their names from their native dinosaurs
There are one hundred twenty nine moai on Easter Island.
They built the moai because it represented as their chiefs, or their powerful ancestors.
Moai Better Blues happened in 2008.
Go in the desert and by the big claw is place for you to prcospect.