The Anyeli tongue is an ancestor of Ancient Greek and draws out-of-character inspiration from Greek, Ancient Greek and Greek mythology. Anyeli follows a very formal structure that is never more evident than in the written word, with letters being fairly square and strictly sized.
Spoken Draconic is impossible for humanoids to learn in its entirety. The structure of the draconic snout means that dragons can formulate completely different sounds, and their ability to also communicate telepathically? has led to a combined and somewhat overly complicated language kept alive by strict adherence to tradition. While some Dracovari attempt to learn how to pronounce their dragon's name, at the very least, even these are complicated and difficult for the humanoid mouth to form, which is why Latin has been accepted as the language of rituals instead.
Elysian is the common language on Elysia?'s mainland?, with variant dialects found on Dardanos? and the outlying islands. Out of character, it's based on English (leaning towards Celtic influences), but in character it's a pidgin of the ancestors' languages (primarily Sylvan and Anyeli) and the various other dialects of the realms. Most of the Elysian races are fluent in it as a matter of necessity.
This language was as rare in Elysia as any of the other Earth-based? languages until the Dracovari still living in Paris? were forced to migrate. It's still very uncommon as so few Elysians understand the language, forcing those French 'Vari moving here to adapt to the Elysian languages instead, but it does seem more prevalent in Nirim's White City?. Even then, it's usually only the 'Vari who bother to learn it, as most dragons refuse to.
The language of ritual, Latin is usually known only to the Dracovari and dragons. There is some variation from the Latin known to Terrans because dragons must be able to speak it too, but the Elysian version has remained unchanged for centuries.
The melodic language of the Nymphs is derived from Anyeli (and thus shares the same Greek influences out of character). There are fewer words in the Sylvan tongue than in Anyeli (or any other language, for that matter), but each of those words can have any number of meanings dependent on the inflection of each syllable. For this reason, Nymphs have no written language (it would be far too complex to be practical) but use their Shaping ability to carve murals instead.
Out of character, the Zanaryan language is based loosely on Arabic, drawing inspiration from Kazakh and Iranian as well. The Zanaryan language itself is quite complex and alien to most Elysians, with an elegant, flowing script that reads from top to bottom and right to left. The spoken word is just as beautiful as Sylvan and almost as lyrical, but is almost never heard outside of Zanarya? itself.