Painting my kitchen walls a light gray and cabinets a lighter gray. What color should I paint my back door and basement door? The wall color or the cabinet color? The floor will be black.
I didn't paint them the same color. You should paint them any color you like. I would go with white. You can never go wrong with white. So if I were you just paint the back door white and basement door white as well. and it would look bright with having a black floor.
Normally the trim (door frames, base and window sills) are the same throughout the house. This includes the doors. But the norm isn't a set rule.
What color are the windows? This could be a good color for the doors as well. What about the ceiling color? If it is white or a light color this would also look good on the doors, allowing some continuity or flow of color.
If you want to accent the doors a bit I would go with the cabinet color. This way they will stand out against the wall color.