I saw this anime 20 - 30 years ago. It was probably made in the 80s or early 90s. It was a movie and it was dubbed.
Telekinesis is important in it. I remember specifically a scene where one of the main characters catches (with telekinesis) and reattaches a fallen leaf to a tree.
They were a kind of experiment or something; their whole world was inside some sort of facility and the stars overhead were lights. They try to escape from the facility through some kind of secret passage.
I think the main character was a male, youngish, with a female secondary character who was older (teenish maybe). No names I can remember. There was no sex or gore to my recollection. A portion of the characters had powers. Or maybe everyone does, but only a few can use them well or to good effect. It was magical to them (the characters), but I think that it was science based, like an experiment due to an outside force. Regarding the art style (and I'm not really sure on this, because it was so long ago), the people had realistic proportions, maybe along the lines of Macross or Evangelion.
I remember that the main character wasn't able to use telekinesis very well at the beginning, but at the climax could and was powerful. The female secondary character was a mentor more than a love interest. The characters were part of a program or training school with others who could use telekinesis (but not in a physical building). The ending has a lot of explosions.
The main character had short black hair.