A kaiju swinging its arm through a building, a superhero that, locked in battle with a villain, flies through several buildings, a huge mecha that uses its ax on a skyscraper, like a lumberjack would on a tree. We have seen similar scenarios several times in fiction, and the constant is that the object, regardless of what it is, goes through the building without taking any apparent damage, and without losing functionality.
In real life, we don't have kaijus, superheroes or giant mecha, but we do have some unfortunate examples of large objects hitting buildings (for example, the 9/11 attacks), and in these, we don't see that the object hitting the building was able to pass through it, let alone without taking damage. So, in a fictional context, that tries not to get detached from the physics of the real world, what characteristics would an object need to be able to pass through a building without suffering damage?
I'm not referring to it being invulnerable. It can still scratch and wear away, but it doesn't have to take destructive or disabling damage.