My own tier list. I like Longbows because the added attack speed means more hits. Each time an enemy is struck they are momentarily stunned. It also has the added range. Crossbowmen also have excellent range, but they sacrifice attack speed for armor and shields. I don't send my archers into melee, so I guess there is an element of taste into that. I don't know much about the utility of the Recurved bow, but I assume it's speed is good, but it lacks the reach of the Longbow and Crossbow. The Shorbow is outclassed. Sistermen have shields so that is pretty good though. I would use Shortbow archers more if they all had shields and a bit better melee capabilities.
[list type=decimal]
[*]Garret Longly - This guy, with a Masterwork Decorated Longbow and two Large Bag of Steel Arrows sometimes get between 20 to 50 kills per siege. The downside is the time and gold required to get him to god tier.
[*]Elite Targeryen Longbowmen - They have the reach, speed and power of the longbow, as well as armor of a knight. They have higher melee and ranged Proficiency than any other archer. Good HP. Unfortunately, they don't have shields nor good leg armor.
[*]Veteran Westerlands/Vale/Stormlands Longbowman - Three solid, easy to recruit archers. Longbow for the range. Westerlands version is the slightly better option.
[*]Elite Reach Crossbowman - The most heavily armored ranged unit in the game as well as a Heater Shield when things get up close and personal. Perfect if you plan to send your ranged units into melee.
[*]Sellsword Crossbowman - Better offensive capabilities, but worse armor than the Reachmen. They still have bucklers when they eventually runs out of bolts to protect them.
[*]Elite Sellsword Longbowmen - Less armored, but better offensive capabilities than Westerlands, Stormlands and Vale Longbowmen. Low health. High upkeep.
[*]Veteran Dornish Archer - Not much going for them, but atleast they don't have the Shortbow.
[*]Elite Sisterman/Northern Archer - Northern archers have decent armor, and Sisterman are the only archers with shields. Unfortunately, they have the Shortbow.
[*]Elite Ironborn Archers - They have a Shortbow as ranged weapon and Long Knife as melee weapon. Long knife.
[*]Mounted Dornish Archers - Possibly one of the best range units in the game from a damage perspective. They have a mount for field battles. Unfortunately, they have the highest exp requirement to get to the god-tier. They don't have the longbow. Worst health. Pretty bad head and leg armor and the highest upkeep cost.