That's a pretty house! If you don't get a lot of responses here, post this on the Home Decorating forum.

Your brick is a really beautiful blend of colors. I'd let that be the star feature of your house instead of trying to overwhelm it with paint color. Your house is formal, so dress it up with subtle accessory colors. For bright color, depth, & texture, talk to a landscape designer and do something special with the yard. I like this Certainteed Landmark Old Overton shingle with your brick. It's a soft black/gray blend without a blue cast. And I couldn't get it right in this mock up -- waaay to bright & not the right shade -- but I think an off-white would work really well with the bricks. Something soft & antique looking, a white with a hint of putty. The door -- I've used a dark blue here, which is just ok. Perhaps strip the door & stain it a rich wood color? A super high gloss black would look good too. Or a super high gloss in your trim color, perhaps a shade darker, would be sophisticated, especially if you pump up the landscaping. Trimming the shrub by the door would have big visual impact too.

What do you mean by “pop?” I like the existing color of the house, but would definitely lose the turquoise accents. That isn’t the kind of “pop” that I would like. I suggest that the “pop” come in the form of landscaping design. Colorful foliage, planter boxes (perhaps in turquoise), beautiful trees, etc. Bring in a landscape designer. That is where you will get the best bang for your buck. And “pop!”

@JustMe the Mt. Washington Hotel is about 40 minutes away, so we're not overlooking it. I really like that blue, and if we had a black roof (and black trim windows) that's almost certainly the route we'd go. There are several places around with that color blue, and they can look stunning. It's just not a color combo with the red roof that we'd go for. In your mock-up there's 4 different colors going on, red roof, blue clapboards, brown/bronze windows, and white trim. It feels too busy. Here's what we've mostly settled on. Sherwin-Williams Alabaster white and soffit trim painted to match window trim. (I also photoshopped in a larger window on the right, to reflect what's gone in to replace that weirdly small window that had been there) They're going to paint some panels in that and the other two warm whites I mentioned before, but we're leaning very much toward Alabaster. The configurator makes it look even more cream colored than it seems to appear in real life (2nd picture).