Which painters tape will not peel off paint?

I use the green frog tape. I have make sure to paint lightly on the tape and remove it as soon as I can.

When the tape is in place use old credit card to smooth edges to stop bleeding . Then remove tape just before paint is all dry.

Most likely you need to prepare the surface before painting better. The paint is not sticking to it, so it sticks to the tape. I've had good results with old fashioned beige masking tape. The tape just has to be less sticky than the surface on the other side of the paint. Maybe let it cure 24 hours before taping as an extra measure. Also, when you pull the tape off, slide it back over itself at a sharp angle to lessen the tug on the paint.

I had that happen when I rushed things too much and the paint under the tape was not completely dry. Had to redo it all.

Frog Tape

Yeah, don't let the paint dry, because then it will peal the paint off. Take the tape off as soon as you're done painting the area. The blue tape works well, just remove it quickly.