Trokh : The Aslan Language
Galanglic : The primary language of the Imperium
Vilani : Another primary language of the Imperium
Zhodani : The language of the Zhodani
K'Kree : The language of the K'Kree
Gurvin : The spoken language of the Hive Federation
There are at least 6 major languages (and cultural regions) in the Vargr Extents.
I would guess the most of the Minor Races each have their own language. The Sword Worlds have their own langauge as well as the Darrians. So the list needs to include the Minor Human Races as well.