Walking. Through. Walls.
Did I get your attention? From olden tales and lore of phantoms to the current sci-fi and comics, the rate of occurrences of this phenomenon/ability without any real thought to the specifics of how exactly it would work is almost as amazing as the ability itself. We know that about 99% of all matter, even of the solid sort, is just empty space, and it's the fields generated by the repulsion forces of those countless subatomic particles that make things seem "solid"... so if there was a way to turn those fields off or without collapsing our own atoms into neutron star matter, or simply align our subatomic particles just right either through magic, SCIENCE!, or some sort of
Men Who Stare at Goats -level meditation technique, then that would be awesome... but then, how would we make sure that we'd only be intangible to the walls?