For starters, I'd like to see this. For melee, reduced chance to be hit in melee based on skill, and a slight increase in attack speed - say, +2% per skill level. Accuracy bonuses here are largely irrelevant and damage bonuses could both get out and hand (one-shotting the torso with relatively bad weapons) and be irrelevant (wasted damage after destroying a limb). So, attack speed. Although if melee skill adds a defensive bonus then increased accuracy could be good. Still, I'd like attack speed as a reliable benefit.
For armor, increased hp and/or reduced armor damage taken per quality level of the armor. Preferably as a strong enough effect that legendary armor degrades slower than baseline armor in combat.
Also climate-controlled power armor and insulated/furred/something helmets, for better use in very hot or very cold climates.
There are probably better, more interesting ways of improving melee and armor, but these would be a good start I think.
For armor, increased hp and/or reduced armor damage taken per quality level of the armor. Preferably as a strong enough effect that legendary armor degrades slower than baseline armor in combat.
Also climate-controlled power armor and insulated/furred/something helmets, for better use in very hot or very cold climates.
There are probably better, more interesting ways of improving melee and armor, but these would be a good start I think.