Chosen Solution
As in title, I turn on my 2DS, the blue indicator light turns on, then the backlight for the screens come on, but the screens stay black. This started a couple weeks back, and before it started happening, I noticed some tearing and freezing in the bottom screen when I’d play a game. If I’m lucky, I can wait around 5-10 minutes after turning on the system, and the screens will start working, but the bottom screen tearing is worse than it’s ever been.
Ribbons sounds like a good shout. It the screens aren’t working, a Nintendo repair might be your best option, as from what I remember any purchases you made on the estore are tied to the console, not your account, and if Ninty repair it they can transfer your purchases.