What color choices would you suggest for this front door?

I think a beautiful deep purple door would be beautiful.

For some reason, lime green popped into my head, but with those colors, I think any bright, "sunny" color would work....like a bright (light) turquoise'ish or yellow or bright blue, what color do you like?

Rusty orange or burnt cranberry

Try a dark purple!

Paint it the color of the most dominant brick color - red or reddish clay or burnt orange.

If your door faces east or west, you get morning sun and afternoon sun which will ruin any paint that is dark. Keep any paint you choose light and acrylic, water base. Sand thoroughly, prime first, two coats of finish color. Prep is 90 % of the job. Be patient. DO NOT PAINT when it is hot.

Dark colors will be a disaster. Keep it light, like yellow, maybe a sand color, or white. The sun will destroy your paint job, obviously you know that as you are repainting it. Go pick a very light color there are millions to pick from. Choose carefully. People who suggest dark colors, are not paying attention. Go to a paint store for professional help. People sitting around writing stuff is not much help.