3M #887 is a single-sided, thin-ribbon, 1" wide polyester tape that sticks really well to clear polyester film (Mylar-D, Melinex 516). Have you tried that one?
I'm not sure how it would compare to J-Lar, but the polyester tape seems to have better stretch-resistance and shear-strength than the other tapes I've tried, made of polypropylene, polyethylene, acetate, and other clear plastics.
Your inquiry has aroused my curiosity. Why do you want a stronger tape than J-Lar? If you are using tape in a high-stress application, maybe there's a better approach than tape?