I've been watching a science fiction anime called
Infinite Ryvius. I recommend highly though it's no longer broadcasted (90s anime). It has a good cast of secondary (and tertiary) characters, like dinosaur gal over here.

And it has alot of effort explaining how the space travel worked, using alot of gravity theory, talk of Van Allen belts, and how weapons work in space (they've got some cool needle gun). Of course, I laugh at the science involved, as a flat Earther, the concept sounds absurd to me. As does the idea of the solar system getting nuked by a supernova effect.
But the show expended serious effort producing "realistic" science.
So now that I'm done with it, find me an anime that relates somehow to FE/RE discussion.
Or better yet, a good anime that is really good on its own merits.