Color is personal, but if it were me I wouldn't paint anything. Whatever you do, DON'T paint the brick.

Its not brick, its stone, but definitely do not paint it. It all looks great right now. If you have to do something out there, update your landscaping, if it needs to be done. Its hard to tell in your picture, because, some of it is dormant because of time of year.

I don't see any brick. I only see stone and I would absolutely not paint the stone.

I find bothersome the trim around the door and the windows above and to the sides of door. It is such chunky trim and I'd rather see it painted the same color as the siding next to it. It sticks out too much painted as a trim color.

I don't love your door color, but it might be fine once you get the trim colors worked out.

IMO painting brick or god forbid stone is an instant devalue of your home I love the new doors with the stone and leave it alone If as mentioned the trim is the issue then a warmer color not pure white will look better The landscaping is a big issue IMO it needs a good redo for something more modern to suit the house . I love the door BTW and good choice to leave it natural.

First, I would have the stone cleaned. Do not paint it.

I think I would paint any siding and trim the same color.

Stain the door in a slightly darker/richer stain.

Keep it simple and let the materials and structure make their statement.