If you want to go for a pop of color that is also on the more neutral side, a forest green shaded or darker shade of blue/gray would look great with bronze.

I like the blue grey shade above or even a burgundy.

I would look at a color drawn from the brick, but bolder. A red-orange of some sort? Behr Cajun Red is one a lot of my clients choose. (of course I'm just guessing, based on what your brick appears to be on my particular monitor). Since your trim is already two-toned, I'm unsure about adding a whole 'nother color that's not in any of your permanent materials.