Greek Archery Range---This is the place where you'll train
your archers.
Greek Barracks---This is the place where you'll train the backbone of your
army, infantry.
Greek Fortress---These buildings are like the Castles of Age II. You can
garrison units in them, they'll shoot arrows, and you'll be able to research some
technologies here. It's unlikely that you'll produce units here though.
Greek Siege
Workshop--Construction yard for siege weapons, as in all previous Age games. Confirmed
weapons so far include Ballista's and Catapults.
Greek Stables---The place to train
cavalry units. As you can see, these buildings aren't quite as static as in previous Age
games. There are a moving horses and a villager who looks after the place.
Greek Tower---A
tower for warning/defending of your town from enemy units.
Greeks Economic
Buildings
Greek Armoury---Same as a blacksmith from Age of Kings. You
can research technologies here to improve your units attack, armor, and range.
Greek Temple/?Shrine?--- The role of this building is not
entirely known. It may be used for researching technologies/building Mythological Units.
Its use may be quite different from culture to culture. At E3, Greek Villagers are seen
praying at this temple/shrine to generate Favor.
Greek Dock---You'll be able to
build ships here as well asdrop off points for fishing ships.
GreekLighthouse---???
Greek Granary---These buildings are a drop off point for food.
Greek Town Centers---(Probably from
different Ages)Build villagers and maybe allowed to research/build hero's.
Greek Archery Range---This is the place where you'll train
your archers. 
Greek Barracks---This is the place where you'll train the backbone of your
army, infantry. 
Greek Fortress---These buildings are like the Castles of Age II. You can
garrison units in them, they'll shoot arrows, and you'll be able to research some
technologies here. It's unlikely that you'll produce units here though.
Greek Siege
Workshop--Construction yard for siege weapons, as in all previous Age games. Confirmed
weapons so far include Ballista's and Catapults.
Greek Stables---The place to train
cavalry units. As you can see, these buildings aren't quite as static as in previous Age
games. There are a moving horses and a villager who looks after the place.
Greek Tower---A
tower for warning/defending of your town from enemy units.
Greek Armoury---Same as a blacksmith from Age of Kings. You
can research technologies here to improve your units attack, armor, and range.
Greek Temple/?Shrine?--- The role of this building is not
entirely known. It may be used for researching technologies/building Mythological Units.
Its use may be quite different from culture to culture. At E3, Greek Villagers are seen
praying at this temple/shrine to generate Favor.
Greek Dock---You'll be able to
build ships here as well asdrop off points for fishing ships.
GreekLighthouse---???
Greek Granary---These buildings are a drop off point for food.
Greek Town Centers---(Probably from
different Ages)Build villagers and maybe allowed to research/build hero's.
Greek
House---Supports your population