I decided to compile together, based on
this video, all of Luke's confirmed skills and abilities up to Return of the Jedi:
Skill: Luke Skywalker was able to instantly adapt to Return of the Jedi Vader's assault, with the Sith lord being known to use a variant of Form V incorporating techniques from all other saber forms I-VII, a skill indicative of the highest level of saber mastery.
Powers and Abilities:
- intent sensing picking up on yoda's kindly nature through sight alone
- Skywalker has as well shown resistance to mental manipulation as he undid the mental programming caused by one dev sibwara with luke and leia training their mental defenses against one another later in life
- And he has a resistance to force stun as shown in galaxy guide number five
- gravity manipulation using the force to stick himself onto a stealth x-craft
- tutaminis with luke attempting to absorb the sith lightning fired upon him in return of the jedi
- healing factor as shown through the reduced injury skill in galaxy guide number five and his showings in the courtship of princess leia
For what applies to Dark Empire:
Skill: Luke is able to, twice, provide the reborn Darth Sidious a fierce/vicious saber duel and dark empire. Sidious being stated a master of every saber form, with Sidious of course scaling to Yoda, with the jedi grandmaster having to use the utmost of his saber skills against Sidious, with Yoda having statements of surpassing all prior jedi in terms of dealing prowess. These statements are of course shared by fellow prequel trilogy top tiers, such as Anakin and Mace Windu, but regardless Luke Skywalker would scale to this level of lightsaber mastery.
Powers and Abilities:
- astral projection projecting his visage to han and leia in dark empire
- cloaking rendering a 1500 meter long spaceship visually undetectable
- force sever with Luke and Leia managing to separate Sidious from his great rage in dark empire
- flight with Luke seemingly being able to manipulate his own mass through thought
- weakness detection sensing the stress point in a wall
Force Knowledge: In terms of force knowledge and his potential abilities, much the same can be said for Luke Skywalker as could be said for Darth Vader. It was stated in dark empire number six that Luke Skywalker knows all the dark knowledge that his father possessed, with Palpatine groaning that he had taught the son of Skywalker in the ways of the dark side all too well. At face value this would give Luke a relative amount of knowledge as Vader, with the dark lord having access to multiple Sith Holocrons with one Holocron being designed to store near infinite knowledge. In dark empire number one it was stated that luke was adept with all the fundamental abilities of a jedi knight.
What applies to Yuuzhan Vong War and beyond:
Skill: While Luke prefers to lean on his skills over the fifth form of saber combat, he has been stated in the legacy of the force era to be the greatest sword handler in the galaxy, surpassing Kyle Katarn, the new jedi order's battle master. A battle master being required to possess knowledge of all saber forms with the first variant of form seven juyo requiring high level mastery of most of the other six saber forms.
A more underrated facet of the jedi, and therefore Luke's skill set, is their combat abilities when compared to masters of martial arts. It has been stated that Palpatine's royal guards were masters of every weapon and all forms of hand-to-hand combat in the galaxy, with their skill still lesser than that of the jedi.
Luke himself is stated to know more hand-to-hand combat forms, than his humanoid combatant had fingers and toes, meaning that Luke would scale above fighters possessing mastery of over at least 21 forms of martial arts.
Powers and Abilities:
- emotion sensing reading all of the warring emotions inside of Jacen Solo
- force judgement a weaker variant of forced lightning known to stun opponents with luke using this ability to one-shot a vong possessing saber-resistant skin
- stamina restoration being able to cure himself of exhaustion through the force
- shatterpoint with Luke teaching the weakness detecting technique in the legacy of the force era
- time walking he can passively witness events in the past with kydis using this ability to witness events happening nearly 60 years prior and as well seeing events yet to come with a limited ability to alter this portent of the future
- force valor the amplification of his strength and speed through the force
- telekinesis being able to move artificial black holes designed to shift moons
- illusion creation conjuring an evil turbo lift as well as an entire fake spacecraft
- presence sensing detecting around 3 million beings across great distances as well as the dark side jedi sabayoth inside hyperspace
- teleportation being able to teleport away objects from someone's hand as well as himself through mind walking further showcasing this ability through his battle with abilath's essence in a realm quote beyond shadows
- technopathy through the lightning rod technique rendering hollow cam's inoperable
- force stun hitting both darth kitus and a sith acolyte in place
Force Knowledge: Skywalker as well, came into possession of the jedi path an in-universe jedi training manual, this text having been instrumental in the training of jedi legends, such as: yoda, obi-wan Kenobi, and anakin skywalker. The jedi path detailing many force abilities saber skills and jedi traditions.
Grandmaster luke by 44 ABY was stated to possess a mastery of the force, and again given luke's prodigious nature instantly adapting to vader's dueling techniques, or mastering the obscure Aing-Tii abilities in two days, it is entirely likely that he would easily come to master these Force Powers.
Also I think this might be good to read:
https://docs.google.com/document/d/1jxSeLD5Pih19sjh79K1th_DNPuwqmbLQkjbiOrqAXR4/edit?usp=sharing