The laser is powerful enough to work on any color of the surface, with slight variations. The final color and effects are more dependent on the type of surface (matte or shiny) than the color of it. The travel path of Star Shower lights depend on the distance between laser light and intended surface of projection along with the refractive index of surface.
It will probably look great on the white house, since white helps highlight colors. You can also use it indoors on white walls.
For more info check out our Ultimate Guide to Laser Xmas Lights – http://laserchristmaslightshq.com/ultimate-guide-christmas-laser-lights/
Or our Holiday Projector Guide explaining the five highest quality and most affordable projectors on the market – http://laserchristmaslightshq.com/best-laser-light-projectors/