Braken

Even the Silva and Aegis, the most energy-like of the melee weapons, has a physical blade. A tiny one, but a blade none the less. And the shield is largely solid, too. The Prime variant is even more solid. In fact, it has an entire mace, instead of a mostly-flame blade.

Honestly, I'm of the opinion that all current melee weapons should have some physical damage. You're hitting enemies with a physical object; you can't tell me that only the elemental stuff hurts.