Martial Arts (Combat) an expansion on unarmed combat with three styles of martial arts taught by Khajiiti monks, Argonian guerrilla fighters, and the Renrijra Krin.
Mysticism (Magic) i know they took this out and reassigned spells to other schools but the magic I am suggesting doesn't have an (easily accessible) equivalent.
Magic used by the Psijics like reflect magic, reflect damage, dispel, and instant teleportation (no time passes when fast traveling but an amount of magic is drained depending on how far you travel).
Existing skill trees: spears, halberds and naginatas could be added to two handed while javelins could be added to one handed. They could be faster than greatswords and swords respectably and have longer reach but do less damage on average. The three perks could give the weapons an instant kill effect (5% 10% 15% odds).