The two grids disguise two messages:

HASTA LA VISTA BABY

and

SNAP OUT OF IT

These are each…

…well-known film quotes, from Terminator 2: Judgment Day and Moonstruck, respectively. The names of the flicks are clued within the photos related to the grids (Judgment + Day / Moon + Struck).

The approach to provide the ultimate solutions includes…

…folding the grids alongside the darkish traces, in order that the right-hand set of squares is folded over to the left, and the underside set of squares is folded as much as the highest. All letters then fall into the suitable areas to spell out the quotes in full, with every phrase on a separate line.