• Oc - Yes
  
• Cuh - I'm going
  
• Comantsi
  
• Bant' ney
  
• Bantewon
  
• Ic com
  
• Che?
  
• Aksay / Akhsi - (Lumberjack)
  
• Asku / Achium - (Gatherer/Hunter)
  
• Akhkishe - (Fisherman)
  
• Tsag onan / Tsag genani - (Farmer/Miner)
  
• Achtsag - (Builder)
  
• Achuin tscha - (Repairer)
  
• Zebiok - (Attack)
  
• Zhunqey - (Attack)
  
• Comantsa
  
• Bintchang
  
• Necchio
  
• Ochelokei

An Age of Empires wiki notes that "Aztec units are supposed to speak Classical Nahuatl, but the in-game voices are not even close to any dialect of Nahuatl", and suggests that the units are speaking a Mayan language.

The Mayan units themselves speak K’iche’ but have different speech files to the Aztecs, so it's not clear if the Aztecs are speaking an earlier form of Mayan (like Qichean) or a different branch of the Mayan language altogether. I haven't been able to find proper translations the words.

• Tiim uu? - Yes?
  
• Zuitei - Correct
  
• Za za - Okay
  
• Belen baina - I am ready
  
• Bi bolgoyo - I fulfill
  
• Zahir - Command
  
• Amar mend uu? - Hello; also means 'How are you doing?'
  
• Tek kim
  
• Modchin - Lumberer; translates to 'woodworking'
  
• Amitan tejeegch - Bad translation, it means 'animal raiser'
  
• Anchin - Hunter
  
• Zagaschin - Fisher
  
• Khuduh aj akui erklegch - Farmer, also bad translation
  
• Uurhaichin - Miner
  
• Barilgachin - Builder
  
• Zasvarchin - Repairer
  
• Tushaal sons - Listen to a command
  
• Belen - Ready
  
• Tiim - Yes
  
• Guitsetgey - Will do
  
• Medlee, guitsetgey - Got it, will do
  
• Hurailan davsh! - Advance
  
• Bayldahnd! - Engage!
  
• Uragshaa davshaad! - Advance forward!
  
• Soyorchi
  
• Amar mend uu? - Hello, how are you?
  
• Surgahli sons - Listen to wise words
  
• Za zuite - Yes, correct
  
• Bolgohson uu? - Have you done it?
  
• Bolgoyo - I fulfill
  
• Tiim uu? - Yes?

The Huns were a nomadic people from the 4th century, and little is known about the Hunnic language. It may have involved the Turkic and Mongolic languages. In-game, the Huns speak Mongolian.

• Ye? - Yes?
  
• Dae-gi - Waiting
  
• Jun-bi - Ready
  
• Jeo-yo? - Me?
  
• Keuro-jyo - I will do as you say
  
• Shil-shi - Carrying out your order!
  
• I-don - Moving
  
• Su-ri-gong - Repairer
  
• Na-mu-kkun - Woodcutter
  
• Chae-jip-kkun - Hunter = gatherer
  
• Eo-bu - Fisherman
  
• Gwang-bu - Miner
  
• Nong-bu - Farmer
  
• Mok-su - Carpenter
  
• Jin-gyeok! - Advance!
  
• Dol-gyeok! - Charge!
  
• Gong-gyeok! - Attack!
  
• Mwon-ga - Something? = What is it?
  
• Eung? - Huh? = Yeah
  
• Malhage - Tell = Just tell me
  
• Pangamne - Nice to meet you = Glad to see you
  
• Aranne - Ok = Understood
  
• Keureose - So = I'll do (what you said)
  
• Keureotji - That's right = I shall (do as you say).
  
• Kagenne - I'm going = I shall go

An Age of Empires wiki notes that Korean units speak modern Korean, when they should be speaking medieval Korean. I found multiple translations for some words, so added them both.

• Chare
  
• Chare/chade
  
• Tabix
  
• Axike
  
• Atutz
  
• Keri
  
• Utz ca
  
• Chastimban
  
• Cha - Say
  
• Ece
  
• Molonel - (Harvester)
  
• K’iaqanel - (Hunter)
  
• Karunel - (Fisherman)
  
• Kasamax - (Farmer and Miner)
  
• Axeyak - (Builder)
  
• Koxonel - (Repairer)
  
• Kayaxe - (Attack)
  
• Kokaya - (Attack)

Before 2000 BC, the Maya spoke a single language, but this broke into over 30 languages that have survived into modern times. An Age of Empires wiki notes that Mayan units speak K’iche’, which is one of those Mayan languages, and is still spoken in modern-day Guatemala. K’iche’ branched out from the Qichean language around the time of the Spanish conquests in the 1500 and 1600's.

The Qichean launguage itself was spoken throughout the Age of Empires II timeframe (Age of Empires II apparently starts at 400 AD). I haven't been able to find proper translations the words.

In-game male / female - translated

• Si - Yes
  
• Mande? - Your command?
  
• Presto / Presta - Ready
  
• Servidor / Servidora - Your servant
  
• Plazme - It pleases me
  
• De grado - Gladly
  
• Voy! - I go!
  
• Agora - Now
  
• Talar - To cut down
  
• Buscar - To search
  
• Cazar - To hunt
  
• Pescar - To fish
  
• Cultivar - To farm
  
• Excavar - To dig
  
• Construir - To build
  
• Remendar - To repair
  
• Guerra! - War!
  
• Santiago! - Battle cry, literally "Saint James!"
  
• A ellos! - To them!

An Age of Empires wiki notes that Spanish units speak Early Modern Spanish, which would place it between the 15th century to the 17th century. But the timeline for Age of Empires II (the Middle Ages) is a little earlier, encompassing the 5th to 15th centuries.

https://cs2bus.com/sharedfiles/filedetails/?id=1639464279