Physical damage, right ?

I wanna see if I'm correct

Elemental damage via sword/axe/hammer
Lightning
Fire
Ice
Earth

Physical damage via sword/axe/hammer
Slashing
Piercing
Blunt

Other:
Light
Dark
Chaos
Shadow

Correct me if I'm wrong, thanks in advance!

I am not sure about the Shadow damage, but the Elemental damages are correct and there is also Slashing damage in the physical damage section.

I believe that Light and Dark are not Elemental damage. Chaos is also neither Elemental nor Physical. Shadow is, I think, another name for Dark, and is therefore also not Elemental nor Physical.

Not all damage types fall into the the two categories of Physical and Elemental. It's just a label. In theory, there could someday be a damage type that was both Physical and Elemental. (I've often thought that Earth should count as both. =)

Holy and shadow damages are two that are considered neither elemental nor physical. So only base armor lvl is considered when you use these two damages.