There are liquid crystals that retain their orientation when the power is removed (bistable, ferroelectric - not the common twisted nematic), and you could make a colour display. We did some early prototypes back at GEC in 1990-91, and the technology have improved dramatically since then.

I think ferroelectric LCDs didn't take off, because power gives you more flexibility (illumination and dynamic display) and it is fairly cheap.

Your (say) girlfriend would only be a reflective display, and she might need to be refreshed every few months. I hate to think what sort of metaphor that is for the relationship...