Teal or orange would look great with the brick! Doors are easy to re-paint to be bold!

I am going to surprise myself & say that I would go with a deep orange on your house (I know your brick is different but it would still be beautiful).

Or a deep teal (I wouldn't go light because the brick is already light).

The orange one from @binakay might add a nice touch Lauren

Go bright and paint stomach door to match. Craftsman doors also look nice in dark wood stains. Then I would spray the storm Bronze or a hammered metal finish. Those hammered texture finishes are super ease.
The classic black shutters would look great with a deep red door and red flowers in pots or flowers beds.

With your light brick and black shutters anything bold will look good. I do like the bittersweet orange, too!!