In star wars terms, his midichlorian levels are around the same level as an average Jedi or below like Obi-Wan. However, the special part about psychic abilities is that the more they use or train with their powers, the more they grow and understand their limits (sometimes surpasses them). At first, he imitated his powers to be like superman, simulating his telekinetic powers to give himself enhanced agility, durability, endurance, reflexes, regeneration, senses, speed, stamina and strength. Adding to these powers he also levitates himself to stimulate his flight powers to be like his predecessor.
But as he grows, he begun learning from Cadmus and from his own and others' experience, knowledge and understanding of his powers and the way he uses them. Thus he understands that he can do more than Superman. He begun displaying the ability to create a telekinetic shield, which is an extension of his telekinetic durability and later turns it into a forcefield. Afterwords, he discovers that he can exert his power into an object, causing it to break down in molecular level before either exploding or rupturing it. Finally, he could also shoot bolt lie raw energy blasts of force power at will. In addition to that, in convergence comics, his understanding and powers grew powerful enough to mentally lift and throw skyscrapers while slowly breaking it into multiple debris.
Also, during the Hypertime event, his darker and future counterpart, Black Zero revealed himself to be able to stimulate Kryptonian powers to its maximum limit by showing his ability to shoot a telekinetic heat vision by focusing his telekinesis through his eye on a target and releasing a highly condensed and super heated force beam without an effort.
However, as time passes, he slowly gains his Kryptonian powers. This started to rethink himself and he slowly begun abandoning the use of his psionic powers. Thus, rather than growing stronger, his powers stayed stagnant. However, during the events of Blackest Night, when everyone, including Superman believed that Superboy has lost his telekinetic powers as his Kryptonian powers returned, Conner immediately utilises one of his complex powers, the molecular rapture ability aka the tactile telekinetic disassembly to immediately explode one of the Zombies without any effort; revealing that not only his abilities have never been lost, but also has grown stronger than before.
Then there is the rebooted New 52 version of the character. This version, however is already aware that his powers are psychic and not Kryptonian. So he started using his telekinetic powers immediately. However, the difference in between these two clones are that the New 52 has another ability. The ability to learn about anything with a single touch (an ability more needed by lazy students who want cheat codes and answer bits to pass their exams).
This ability allows him to collect information from all sorts of things, living, non-living, sentient and non-sentient. One of the earliest moments in his time after being released from the pod is that he immediately learned Kryptonian after Supergirl touched him. She touched him only once and he begun speaking Kryptonian fluently, much to her own surprise. Then, during the H'el saga, Superboy and Superman were trapped in an unknown place which Superboy not only identify as sentient, but he was also able to communicate with it and found a way for the two of them to escape.
Finally, when he fought H'el the second time, he matched him blow for blow and even managed to defeat him and a destroyer entity known as the Eradicator, which has none but one purpose. During the last days of Krypton, it must destroy all living and sentient thing that exists on the planet. But he managed to kill it. As for his final moments, he used all of his powers to separate and lift the City of Argo into the space while shielding it and keeping it together, so that he can give Kara enough time to give her parents good bye and leave for earth. He died knowing that he did the right thing even though he had saved the one woman who would hate him for the rest of her days.
The second way he used his powers is to enhance his senses to the point he can scan areas fare detailed and can also scan them using seismic vibrations on his feet. These two powers act as sonar for Superboy, who rarely use them, even though it is more useful in comparison to his enhanced senses. However what he never accomplished in his living days with his powers are two of Jon Lane Kent aka his donor's twin abilities to extract the life force from another being to make himself stronger and a camouflage ability by manipulating the light in his vicinity.
Additionally, just like his pre-Flashpoint counterpart, the new Kon's only issues are his lack of experience with his powers. Given enough time to learn, adapt and grow; Conner could surpass both Superman and Supergirl who have proven themselves to be stronger than him in raw strength.
Overall, his initial telekinetic powers seems to be on the same level of Obi-Wan, with the exception of flight. However, given time, both himself and his powers could grow to the point of Anakin Skywalker. But because of both his arrogance and wanting to be like his predecessor Superman, he would never achieve this level. Even if it is for a few years.
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