Lunarians are a celestial race from heaven.
In the Touhou Series created by ZUN some work for Tsukuyomi but there were also Lunarians in games such as Final Fantasy and other Media which had no real connection to Tsukuyomi.
They care about purity and want to be in heaven.
Lunarians are probably on good terms with Luna and Lunabrie but also with Lunastar and Lunaleaf and of course Lunamoon.
Anubriel loves Lunarians because he sometimes is Lunabrie.