As I read all the comments, it seems that everyone describes the shot they make broadside and describe shooting the point of the shoulder; but is that the front point, the rear point, or the top of the shoulder blade? I have put many people in deer stands and always tried to analyze their mistakes and successes. The most common mistake I saw was people not figuring the angle the deer was from their line of sight. I.e. where the bullet would enter and the direction of travel through the body. An example is a deer looking like he is broadside, but he is actually angled slightly so his hind end is left of the line of sight, resulting in a gut shot deer, but missing the heart, liver and lungs because the shooter shot the same place he would shoot on a perpendicular broadside shot.
I have found that head shots can be disastrous.
Add to that that there are so many ways to hunt deer. Here in the south, you are often in a stand that allows bracing like shooting off of a bench. Other times a ground blind, tree climber, or some other type of hide that requires ability to shoot from less steady rests. Then, throw in low light situations that demand a good scope. I have come to really like center dot illuminated scopes.
So instead of rambling I will let this website I found demonstrate what I mean. It's not perfect, but it does depict angles. I wish someone would design a computer simulation allowing someone to see a deer's vitals and visualize where you need to aim to hit vitals.
Where to Shoot a Deer