Snapcase's terrific work isolating unit images from screenshots. Names are either confirmed or guesses

Ships

Guess: Cruiser	Guess: Galleon	Guess: Trireme
Guess: AEGIS Cruiser	Guess: Transport	Guess: Caravel
Guess: Frigate	Guess: Frigate

Infantry Units

Guess: Explorer (he holds no visible weapons)	Confirmed: Warrior	Guess: Sioux special unit (Brave)
Guess: Zulu special unit (Impi)	Guess: Diplomat	Confirmed: Phalanx
Guess: Japanese special unit (Samurai)	Guess: Aztec special unit (Priest of Human Sacrifices )	Guess: Archer
Guess: Partisan	Guess: Not a clue.	Guess: Mongol special unit (Compact Bow Archer, but shouldn't it be on horseback?)
Guess: English special unit (longbow archer)	Guess: new unit (Spearman)	Guess: Settler
Guess: Musketeer	Guess: Pikeman	Guess: Worker

Cavalry

Guess: Arab special unit (Dervish)	Guess: Chariot
Guess: Knight/Crusader?	Guess: Horseman

Artillery

Confirmed: Catapult

Guess: Cannon

Guess: Artillery

Tanks

Confirmed: Panzer Tank (German special unit)	Confirmed: Abrams Tank
Guess: er, a tank. You tank historians will have to help in identifying this one.	Guess: again, a tank. You tank historians will have to help in identifying this one.