I very much enjoy biotics from Mass Effects. There is possibly some detailed description burried deep in the background information, but the games themselves don't really go into detail about the physics behind it.
It's basically a number of psychic powers, which are all very basic and do not allow for fine manipulation. Basic things like emanating a protective field that deflects attacks, levitation, telekinetic thrusts, stasis, or disrupting the targets atomic structure. Since it's a science fiction world, the powers all are related to manipulating gravity, time, magnetism, and velocity. And since it's a fast paced video-game, there are only about 10 powers in all.
However, I very much enjoy the combination of being able to pretty much use the powers repetedly all day (though it's exhausting), and the powers all being relatively blunt. You either slow down or accelerate people and objects, which can protect you and cause damage to them. But it's all very straightforward and doesn't allow you to do things that would be impossible to do with brute force or explosives. The only difference is, that you do it with your mind, without need for equipment and supplies, and to extends that a human body would never be able to be trained, even if you exercise and train all your life. However training in biotic powers comes at the expense of less training in martial or technological expertise.
But there's no divination, no hacking of computers, or telepathy capable to be used as a weapon, or rewriting of reality. Just the ability to deflect harm and to land a heavy punch as magic artillery.
Biotic adepts are probably most similar to wilders and psychic warriors from 3rd Edition. I don't think they can stand in for the regular D&D spellcasters, but would make a great alternative for different settings in which magic has a different role and importance.
I really, really would love to have 3rd Edition psionics to be re-invented for 5th Edition. That would be just the type of magic system I would need. Bruce Cordell is one the team. I want him to do something about that! ^^