What kind of glue do you use to glue cork board to painted wood?

Myself, I wouldn't glue to a painted surface, to many problems with adhesion. The easy fix, example: if your corkboard is 24"x24", sand down to clean wood a 23"x23" area on your painted board, now you can glue your corkboard on your other piece, and you won't have any adhesion problems. I used a 1" space but you can use 1/2" or 1/4", what ever you feel comfortable with.(I suggest Titebond 111, by Franklin, its an Excellent all-around glue for wood).

ANS 2 - Silicone will work without affecting the paint .