The first attack of your basic combo and the jumping slash share a death animation.
The third combo attack shares its death animation with the non-focus sword draw attack.
The the focus+block attack and the sprinting slash share a death animation.
The sheathed and unsheathed focus+slash attacks each have unique death animations.
The basic flame attack, and the first and second level focus+flame attacks, all have unique death animations.
Focus+up and focus+down both have unique death animations, and focus+down has a second version of the death animation if you follow it up with a kick.
If there are more than those 10, I haven't found them yet.
Other than the focus+down>kick animation, kicks don't have any death animations, which makes sense because they're clearly non-lethal attacks. Weirdly, though, the second combo attack isn't capable of landing a killing blow either (but does damage enemy block). Taunts obviously also don't kill. Especially not the one with your weapon sheathed, but it's nice to do this anyway. You can't attack while ducking, and jumping onto enemies doesn't kill unless you do the jumping slash attack (but jump+kick has surprisingly good knockback).