Do you have a favourite exoplanet? I do: TRAPPIST-1e.
It's an eyeball planet: https://en.wikipedia.org/wiki/Eyeball_planet
It doesn't have a day/night cycle nor seasons. Only permanently-hot and permanently-cold-and-dark sides, with a never ending sunset and extreme winds in between.
With the winds going in both directions (unless there's an ocean there, in which case it might be the current that's going in the opposite direction).
@robryk I mean 1e in particular.