HeirOfWallachia said:
No, you might see some vase paintings of two Greek heroes who are dramatically fighting with spears and using them overhand, or fighting naked, or sometimes even riding dolphins into battle. Those jars were intended to sell, not to be accurate. However there are also accurate depictions on some vases where you can see Greeks fighting in formation and using their spears underhand.
Here:
http://www.youtube.com/watch?v=klOc9C-aPr4
and
http://www.youtube.com/watch?v=I-xtFXThEOc
The man is an archaeologist and has worked as a professor if you doubt what he has to say.
There is one thing with Lloyd's videos which is wrong about his point about spears. His comment that overhand spear usage only happens in vases, is quite inconsistent. Because as a matter of fact, one of his evidences for using underarm, are Boeotian Shields, which interestingly enough do not appear in the archaeological record, but only appear in vase paintings. So his disparaging of the use of vase paintings for over-arm use is quite off base. And his basis is quite bad scholarship. He went out to look for what the vases showed, they didn't show what he wanted, so he decided that it was artistic license. I like Lloyd's videos, but on these points about spears, he is quite off base.
The other important thing to note, is that in his examples he's using what is essentially a quarter staff. It cannot be used as an example of a spear, or even a Dory for that matter, because the Dory has one very important thing which makes using overarm easier than without one. That being a sarouter. There is enough heft there that you can hold the spear quite far back without having it be unwieldy.
It has also been tested that an overarm thrust is comparatively more powerful than an underarm one. (I believe it was Peter Connolly who did these tests, but I cannot be entirely certain off the top of my head).
Here is another video showing his whole point in raising the spear over the shield top.
http://youtu.be/sg99-l1C7XI?t=5m39s
And finally, this video of reenactors using the overarm method. Look at their hand placements, and how far back on the spear they're holding it. There isn't "Half the spear" behind them like how Lloyd speaks about concerning the overarm usage having to hold the spear in the middle.
http://youtu.be/IiZ4Y4CGoTU?t=1m36s
Overarm spear usage is historical for any formation fighting in a tight ranked shield wall with no gaps between the shields.