I was thinking about which POV character has the most kills, specifically over the course of the main story, and... [Spoilers MAIN]

I'm pretty sure it's actually Tyrion. I'm talking specifically hands-on kills. Characters like Jaime and Ser Barristan have more in the past obviously. But in the AGOT Tyrion gets a few on the way to The Eyrie, and later more at the Battle on the Green Fork. In ACOK he gets a bunch at the Battle of the Blackwater. And then in ASOS he gets Shae and Tywin. Correct me if I'm wrong.