Would you survive getting an arrow in your eyes?
Of course I did not meant weakspot hit such as eyes, mouth, throat (head in general), more like shoulders, legs and chest, over armor.
Here is the answer: http://www.isegoria.net/2011/08/longbow-vs-armor/
His conclusion is this one:
Conclusion
Most soldiers on the battlefield would have been at risk from the longbow. The average archer would have had the tools to wound or kill most armour types. Even with the advent of coat of plates, the archer would have had an impact on an advancing army. Only the most expensive and well made plate armour wearers would have had an advantage. Although even with plate, I only tested the impacts to major protected areas. The joints and gaps would all still be vulnerable being mostly of maille until the 16th century. Without significant metal to withstand the energies of an arrow or excessive padding to spread out the force, arrows of the 1400’s would have been deadly.
I specifically stated excluding longbow, for it is one of strongest bow types ever made, and I already know that getting hit by longbow could be deadly regardless what armor the one being hit would wear.
Realistically I think that most people that died from being hit by an arrow did not die instantly, they most likely either bled out, were finished off by a melee weapon, or perhaps even died days after the battle due to infection etc.
That might be the case for those who were unarmored, or wore leather armor (as whole, not certain type). I am more interested about those who wore mail, scale and plate armor.
The point of the question is, that I have seen many situations in movies in which people wearing steel cuirass (along with other armor) were killed by one shot from a bow that certainly was not longbow, fired right in the middle of their chest, which I find hard to believe.