EyeSight (Subaru's assistance system) uses stereoscopic cameras, so it can handle large stationary objects.

LiDAR can distinguish between on and off-road objects, so it doesn't have to ignore stationary objects. I don't know of a LiDAR-based highway assist that's commercially available, though.

Finally, because we're a bunch of pedants here, radar-based systems will register stationary objects that were formerly moving. This is how "follow to stop" systems know when to stop. :)