The first new Jedi of the new canon and one of the best new canon characters in general. Kanan has proven himself to be a truly remarkable and capable Jedi Knight with many feats that surpass even Jedi Masters. He is a rather accomplished duelist, has gathered a decent amount of wisdom and has shown to develop a very strong connection to the force.
He was skilled in lightsaber combat even at a young age
Kanan was awakened and defeated the Grand Inquisitor after overcoming his fear.
Kanan is awakened in the Force and defeats his enemy by defeating his greatest fear.
After losing his Eyesight Kanan was forced to rely on the force more deeply than ever before.
Under the guidance of the mysterious Bendu, Kanan was forced to rely on the Force more deeply than ever before.
Arguably at the Pinnacle of his skills in Season 3
Though he is arguably at the pinnacle of his skills,
Kanan achieves a permanent balance after training with the Bendu.
And his sight returns. Stronger. Clearer. Different. Kanan attains a balance in this episode that never again leaves him
Kanan like all jedi can perform physical feats greater than humanly possible.
Kanan has enhanced jumps.
Without thinking, he leapt.
Leapt, as he hadn’t in nearly a decade, farther than any mortal normally could.
- Star Wars: A New Dawn
He was able to jump across a giant chasm.
He sees the world in slow motion
Time stopped for Kanan than started again, slowly.
- Star Wars: A New Dawn
Kanan demonstrates high levels of agility as a padawan
Kanan has also reacted to numerous blaster bolts.
Kanan creates after images with his lightsaber.
Deflects Fire from a Platoon of Stormtroopers
"Standing in the middle of the battlefield, with a hundred blasters pointed at him, Kanan opened himself fully to the Force.
He expected it to flood through him like a dam being released, as it had been a long time since he had completely freed himself to its light. He felt nothing of the kind. Instead, his heart calmed and his mind eased. The relief that came was subtle, subdued, like a gentle breeze that cooled on a hot day. A touch, a whisper, a sense of peace. He began to relax.
A web appeared before him, invisible but perceptible, linking all the beings on the battlefield to him, his life, his actions, his...destiny. Future and past events came to him in glimpses and sensations, none he understood, other than that he played a part in them-if he wanted. He could just as easily walk away and refuse.
The Masters at the Temple had often lectured about accepting your destiny. To Kanan, destiny had seemed a fixed matter. Its very nature implied that your future was defined, that you were a puppet acting out choices that had already been made for you. Yet upon seeing the web, how it moved and twirled and spun based on an infinite array of actions, Kanan realized he'd been wrong. Destiny wasn't a fixed matter. Destiny was a choice, a confidence, a belief. Perhaps all the Masters had meant was that by accepting your destiny you accepted yourself.
His friends on the Ghost had accepted themselves, while Kanan had been the one who had not. He'd hidden behind the lie that if he revealed himself, he'd put them all in grave danger. But they were already in danger, going toe-to-toe with the Empire. His friends gave their all to the fight, unafraid of what they might have to sacrifice. They needed Kanan to do the same. He couldn't fear what the Empire might do to him or them. The best way for him to protect their lives was to employ all the talents and skills at his disposal.
It was to use the Force.
Though he hadn't always been one with the Force, the Force had always been with him. He couldn't run away from it. He couldn't deny it any longer. He couldn't deny himself from himself.
Nor would the Imperial agent let him. "All troopers," Kallus said. "Focus your fire on...the Jedi."
Kanan Jarrus raised his lightsaber in salute. A Jedi he had been. A Jedi he would be.
"Whoa," gasped Ezra.
Alone in the middle of the battlefield, Kanan Jarrus ducked, dodged, and deflected the blaster storm directed at him. He seemed to know when and from where each bolt was coming, jumping in the air at the right moment, curving his body to the perfect angle, or slashing his sword just in time. More than a few troopers crumpled, recipients of shots that Kanan deflected off his blade. Without even engaging in hand-to-hand combat, this one man-this Jedi-was holding off an entire platoon of stormtroopers."
-- The Rebellion Begins.
Able to Deflect Lasers while blind. Even deflecting blasts from multiple targets at once.
Hera after her first mission with Kanan thought that he seemed able to perform even better than he had even though she also said he was in the edge of human potential.
She understood that Jedi abilities weren’t some suit of superpowered armor that someone could leave at home, or abandon in a garbage can. The Force influenced and enhanced every action of a person touched with it, whether they were conscious of it or not.
And no one but a Jedi could do the things she had seen Kanan do. The brawl in Shaketown, the escape on the hoverbus, the battle with Vidian – in each, she’d seen a man acting at the outer edge of human performance. And, in all cases, she’d somehow thought him capable of doing even more. It seemed as if he’d identified a line that he would not cross, and had stuck to it.
-Star Wars: A New Dawn
Kanan cut himself off from the force while he was in hiding.
Kanan is skilled in the use of telekinesis and uses it frequently even in combat.
He stopped a giant spinning fan.
And can use the force to disarm and throw stormtroopers
He was able to pin the Grand Inquisitor.
Uses a strong force push as a padawan
Destroys a Bacta Tank and recieves his lightsaber.
Uses the force to stop Ezra
Kanan pushes back stormtroopers
With Ezra's help he deflects two Meteors
Catches and redirects a missile
He was powerful enough to stop a cave in.
Twisting faceup as he dropped, Kanan hit the ground. He looked up into the onrushing mass – and stopped it, with his mind.
It was an odd feeling, like putting on an old article of clothing. It was like the leap, something he had sworn never to do. Not in front of anyone, to be sure.
But now he had done it.
And then he let go. Let go with his mind, and listened as a mountain, denied, found the space where he had landed.
- Star Wars: A New Dawn
And catch a falling catwalk.
Kanan looked instead upward, waving with his hand –
– and suspending the giant catwalk in midair, centimeters from his and Hera’s heads.
She stared at it, dumbfounded – and then at him. Self-conscious, Kanan shoved at the air, pushing the levitated mass off to the side. It landed with a colossal crash.
- Star Wars: A New Dawn
Uses Force Stasis on a Stormtrooper before tossing him out of a window.
Kanan ragdolled Thrawn's highly skilled bodyguard Rukh
He also caught and manipulated a bridge.
Kanan was able to stop an at least building sized explosion and even temporarily hold it back and force push a ship a good distance.
Animal Control & Jedi Mind Trick
Kanan has demonstrated enough skill with a jedi mind trick to influence at least two people.
He can also manipulate animals, With the help of his padawan Ezra he was able to control a pack of Fyrnocks.
Kanan controls a pack of Animals.
Was able to resist a mind probe and a mind trick
Kanan uses the force to add urgency to his voice.
Kanan glanced up to see the Phantom hovering at the top of the tower, its rear hatch opening. Sabine, Zeb, and Chopper sprang inside. But Ezra hesitated, staring down at Kanan, until laser fire from the troop transports forced him to go through the hatch.
The Inquisitor lunged with ferocious speed. Kanan managed to duck and grabbed his comm. "Spectre-Two, get out of here!"
As he continued to dodge and block, Hera's voice crackled over his comm: "Not an option, Kanan!"
"No time-go!" he shouted, leaping away from a would-be finishing blow.
The Phantom rocked in the sky, taking hit after hit from the troop transports' cannons. Kanan couldn't fight the Inquisitor and try to persuade his crewmates to leave at the same time. Pinned against the tower, deflecting the Inquisitor's strokes, he yelled his best friend's name-"Hera!"-adding urgency through the Force.
Though the Phantom swayed in the air for a moment, Hera did as he requested. The hatch closed, and the craft turned away from the tower, braving enemy fire to shoot off into the night.
-- Battle to the End
Able to deflect attacks while blindfolded
Was able to outmaneuver Maul after being blinded.
Lightsaber Skill and Notable fights
Kanan has training in Form III, V, Jar' kai and presumably like all jedi Form I.
Towards the beginning of the show however he favored form III over all others as it was his master specialty. He wasn't very skilled in saber combat being easily bested by the sith inquisitor even with Ezra's help.
Over the course of the series he improved more and more coming closer to the inquisitor's level with each passing fight.
By their third duel he had improved enough to be noticeable to his opponent.
Finally in their fourth duel Kanan was able to defeat the Inquisitor with Jar' Kai after tapping into the force. Note he had been tortured previously.
Kanan activated the blade and lunged. The Inquisitor repelled the blow, and they began to duel once again. Adrenaline surged through Kanan's muscles, pulling him away from exhaustion. He forgot about the pain in his body and focused on the fight.
--Battle to the End
Kanan was able to save Ezra from Darth Vader and Survived the encounter himself. (It should be noted Vader was most likely holding back.)
Kanan is able to fight the 7th Sister
Kanan was able to out duel the 8th Brother and critically damage his lightsaber which ultimately led to his death.
Kills a Kage warrior and Separatist colonel as a child
Other Skills and Abilities
Kanan is a fair shot and pilot.
He was able to out maneuver Republic ships piloted by clone troopers.
And as a child easily overpower the space criminal Janus Kasmir
He was able to take out multiple thugs even aim dodging multiple blaster shots.
Kanan has shown to possess a remarkable ability to gain increased ability through his relationship with the force. While this is partially out of his control it is also an active choice to gain an increased confidence in the force and in his own ability. All of Kanan's moments of increased ability coincide with a moment of character development and balance.
I like to believe that you don’t use the Force. The Force uses you. We see this time and time again throughout the Star Wars saga, from Luke Skywalker allowing the Force to guide his proton torpedoes in A New Hope to Chirrut Îmwe letting the Force flow through him to take down a squad of Jedha stormtroopers in Rogue One.
In “Twilight of the Apprentice” we see it with a newly blind Kanan as he allows himself to be a vessel for the Force, which leads him to swiftly defeat Maul, a far more experienced opponent with the advantage of sight. The best of those who touch the Force allow themselves to be subject to it. Kanan Jarrus joins their ranks here.