There are 2 bows and the rest have pole arms.
Not necessarily bows in particular but other missiles weapons had common use too
Well some of what I've read over the years has suggested that the bow during ancient times was less popular than the sling, indeed, good old wikipedia has this to say:
Wikipedia said:
Modern authorities vary widely in their estimates of the effective range of ancient weapons and of course bows and arrows could also have been used to produce a long-range arcing trajectory, but ancient writers repeatedly stress the sling's advantage of range. The sling was light to carry and cheap to produce; ammunition in the form of stones was readily available and often to be found near the site of battle. The ranges the sling could achieve with molded lead glandes was only topped by the strong composite bow or, centuries later, the heavy English longbow, both at massively greater cost.
And the picture posted above features both longbowmen, and you'll notice that one of the combatants is a slinger. It seems that the sling was favored over the bow because many levy troops were already proficient in it's use (from hunting) and it was an effective weapon against un-armoured enemies.
The same wikipedia article on the sling mentions the staff sling, which sounds intriguing. Like a mini trebuchet it was used to hurl rocks (and later grenades, or even molotov cocktails) in siege situations. That's a weapon I'd like to see in a game, but perhaps it would be best reserved as a single attack animation in siege situations.
On the subject of the longbow:
Phrossack said:
Longbows were useful but are at least as overrated as katanas. They can't actually kill fully armored knights except with a lucky hit at close range with a heavy arrow, but then most enemies weren't fully armored knights.
I saw a tv show about 10 years ago, similar to mythbusters, but on the BBC where they tried out a longbow and a crossbow against period plate armour and they were both able to penetrate at quite long range, however, even if we ignore that point (and I wasn't fully convinced, because the armour was attached to a wooden post, not to a man, and there were no underlaying soft padding layers to spead the force of the hit), there's still the fact that the horses of the period were not fully armoured. You don't need to kill the rider if you can kill the horse.
On the other hand, when we look carefully at one of the most prominenet victories of Longbow over Armoured knights, the battle of Agincourt we are told that the French knights...
wikipedia said:
unable to outflank the longbowmen (because of the encroaching woodland) and unable to charge through the forest of sharpened stakes that protected the archers.
It seems here that the knights dismounted and attacked on foot, but the muddy terrain and flanking woodland again helped the English archers and they were able to finish off the tired french fighters with mallets and rocks. it seems that the Longbow wasa fearsome weapon, in the right situation, but I wouldn't want to field a whole army of longbowmen hoping that it's going to rain.
On another note, The Chinese stated that massed crossbows were the most effective weapon against light unarmoured cavalry (a precursor to the infantry square of Napoleonic warfare perhaps), but these cavalry were horse archers and light cavalry and so were not armoured.
Overall the impression I get about archery in warfare matches that stated here (again wikipedia but I'm sure you can find a similar quote elsewhere):
wikipedia said:
During the Middle Ages, archery in warfare was not as prevalent and dominant in Western Europe as popular myth sometimes dictates. Archers were quite often the lowest-paid soldiers in an army or were conscripted from the peasantry. This was due to the cheap nature of the bow and arrow, as compared to the expense needed to equip a professional man-at-arms with good armour and a sword. Professional archers required a lifetime of training and expensive bows to be effective, and were thus generally rare in Europe (see English longbow). The bow was seldom used to decide battles and often viewed as a "lower class weapon" or as a toy, by the nobility. However, among the Vikings, even royalty such as Magnus Barelegs* used archery effectively, and the Muslims used archery, presumably also in their numerous raiding expeditions all over the Western European seaboard, in the 9th and 10th centuries.
*Magnus Barelegs.

hahaha what a great name.