Neloth Abilities: Superhuman Physical Characteristics, Genius Intelligence, Longevity, Magic, Reality Warping (All Magic comes from the act of an individual exerting changes upon reality in accordance to their Will), Spatial Manipulation, Time Manipulation, Energy Manipulation, Summoning, Paralysis Inducement, Forcefield Creation, Fire Manipulation, Ice Manipulation, Lightning Manipulation, Air Manipulation, Healing, Stealth Mastery, Statistics Amplification, Illusion Creation, Biological Manipulation, Physics Manipulation, Light Manipulation, Soul Manipulation, Disease Manipulation, Curse Manipulation, Willpower Manipulation, Mind Manipulation, Probability Manipulation, Acid Manipulation, Matter Manipulation, Teleportation, Gravity Manipulation, Fear Manipulation, Empathic Manipulation, Levitation, Telekinesis, Teleportation, Transmutation, Extrasensory Perception (Can sense life, undead, and automation), Necromancy, Invisibility, Darkness Manipulation, Magic Resistance; Absorption and Reflection, Fire and Lightning Resistance, Resistance to: Mind Manipulation (Resisted Miraak's Bend Will shout. Unaffected by several illusion spells), Madness Manipulation (Could read Herma-Mora's Black Books without losing his mind), Diseases, likely many others
Miraak Abilities: Superhuman Physical Characteristics, Weapon Mastery, Immortality (Type 1), Blessed, Reality Warping with the Thu'um and with Magic (Magic brings changes into reality by accordance of the will of the user. The Thu'um allows one to add their voice to the underlying song of creation and alter it), Soul Absorption (Absorbs the souls of Dragons and presumably other Dragonborn after killing them, preventing them from resurrecting at a later time, and can use them to unlock words of power), Magic Absorption (His robes allow him to absorb a portion of spells used against him into his own Magicka), Statistics Amplification, Intangibility, Summoning of Dragons and Daedra, Regenerationn (Mid-Low), Mind Manipulation (Can cause animals, humans, and even Dragons to become his servants with a single shout. From within Apocrypha, he was able to cause hundreds of individuals to enter a trance and construct monuments of himself), Fire Manipulation, Ice Manipulation, Air Manipulation, Electricity Manipulation, Forcefield Creation, Healing, Teleportation/BFR, Telekinesis, Stamina Draining, Can generate tentacles that deal Poison Damage, Resistance to Magic, Paralysis Inducement, Frost Attacks, Telekinesis, Reality Warping (Unaffected by the Wabbajack), Death Manipulation (Unaffected by Mehrune's Razor), Poison Manipulation (Undamaged by the poisonous waters of Apocrypha), Mind Manipulation (Unaffected by Bend Will and a number of Illusion spells), Madness Manipulation (Kept his sanity for millennia within Apocrypha, which is known to drive those who enter it insane within days)