I'd mask off your wood, and get a mild paint stripper, and apply it, let it sit for a while, and try washing it off. A strong old fashioned paint stripper might actually etch the glass more and change the frosted look where it touched. If you go to a specialty paint store they *might* have someone working there who actually knows if the strippers they carry are safe on glass.

Also, were you using a paint sprayer? I hope you weren't using a rattle can on your doors.....

No paint stripper I have ever used will harm glass. Just don't let it drip.
But before you buy stripper....try some nail polish remover with acetone on a bit of paper towel. Should take it right off.

Nail polish remover on a cotton wool ball just gently remove it. I used it to remove a permanent marker scribble.

Will these methods work to clean a frosted film I put on my glass window at my front door?

Tova, on your film I would dry some full-strength dish liquid with a sponge or non-stick pan safe scrubber (white or blue) before trying any other chemicals that might react with the adhesive on the film.

You could try the same on the painted glass and move up to a paint stripper test if nothing else works. Typically the powerful surfactants in dish soap with a little elbow grease get just about anything loose. Good luck!