I dunno if the game needs to have further complexity in its current state, but I could see certain attacks having different damage types making sense. For example:
Most swords could deal cut for slash and overhead, while stabbing with them could instead do chop damage. Justification for that would be that a sword thrust would focus more weight around a smaller surface area, which has a better chance at penetrating armor. Meanwhile, stabbing with an axe or mace would instead do cut damage, since these weapons were clearly not meant for thrusting attacks, and the resulting blunt force trauma would be ineffectual against one's body armor.
Image source: https://armor.typepad.com/bastardsword/swords/