Someone already mentioned the, VW e-up! and it has a sibling called Skoda Citigo iV. They do belong to the "very tiny car" segment, but you can get them without any screen at all! Google some interior pictures. (Both not sold anymore, but you can find them used).
I think for a brand that does as simple and cheap cars as possible there's Dacia. They have the electric Dacia Spring which is also a small car. It does have a touch screen though. Only available in some select European countries.
Edit: Actually, the touch screen in the Spring is only the "Plus" version, so you can be touch-screen free! :) But the Plus version also has DC fast charging, so you probably want that anyway.
I think for a brand that does as simple and cheap cars as possible there's Dacia. They have the electric Dacia Spring which is also a small car. It does have a touch screen though. Only available in some select European countries.
Edit: Actually, the touch screen in the Spring is only the "Plus" version, so you can be touch-screen free! :) But the Plus version also has DC fast charging, so you probably want that anyway.