Feedback Sprites look strange when touching on the same plane

Hello and thanks to anyone who decides to comment.
The game I am making is a space shooter and uses 2d sprites in a 3d environment so that I can still get some cool depth. I have an un-estimated large number of enemies spawning within a semi-random location at the top of my screen on the x-axis. The problem is that when the enemies spawn they have the same y-axis and therefore get some weird rendering issues/artifacts/strangeness when they touch (or even when they are just near each other).
I know that my issue is because the sprites are on the same exact y-axis coordinate and can’t figure out which is on top they just go crazy. I could technically spawn the enemies on slightly different coordinates, but that would still have a possibility of spawning two on the same, just less so.
My question is: does anyone know of the best approach to “fixing” or adapting to this? Surely this is a common issue.

Note: I realized I should say my sprites are using actual lit materials and not sprite materials.

 

It is unfortunately very common for people to report visual "issues/artifacts/strangeness" without even providing photographic (screenshot evidence). It's so common that it looks like it has happened again.

That sounds like a great place to begin your investigation. There should be no visual interaction between two unrelated items. Drag two things into a scene and see what they do? Perhaps there's something else going on? Or perhaps you have post-processing enabled that does something?

 

Here are some pictures for reference

 

I am confused because the above comment makes it sound like two separate sprites on a 3d plane and parallel to each other will have no "visual interaction." Am I misunderstanding this, I assumed it was a given they would react.