I wouldn't say there are a ton of famous owls in media, but the ones that are there all feel pretty memorable from their visual impact and they tend to be great helpers to our heroes.
The bay owls have what I feel is the most unnerving look, but they are pretty tiny, so that takes away some of their visual power if you have a sense of scale. š
Here is one with its typical expression, and also the scrunchy face like the owl in the main post.
They will tend to scrunch and elongate when they're trying to hide. Since their eyes are pretty big, closing them most of the way makes that feature stand out less.
They go big when they're standing their ground. They've already been spotted, so now they want to look like the biggest, toughest owl possible.
Here's the classic White Faced Scops video showing the little owl's reactions to an owl slightly larger than itself and one much larger.
Birds usually don't want to fight. There's too much chance for anyone involved to get hurt and be left unable to fly and be unable to get food or stay safe. They want to either stay hidden or have the other party back off before anyone actually gets too physical.