•Occurs in Mulan during the "Mulan's Decision" sequence just after she cuts her hair and suits-up in her father's war armor.
In Kung Fu Panda, the Sword of Heroes, so sharp that you can cut yourself by looking at it, did this when Po looked at it and cut his finger. Tigress and Tai Lung also do this whenever they unsheathe their claws.
In Kung Fu Panda 2, this applies to all of Lord Shen's bladed weapons.
Occurs in Tangled when Mother Gothel removes the dagger from the nightstand to go search for Flynn Ryder, who she thinks has kidnapped Rapunzel.
In Frozen, when Prince Hans unsheathes his sword to execute Elsa, the sharpness is loud enough that it catches Anna's attention, causing her to rush to save her sister. Confusingly, only Anna seems to notice even though Elsa is closer; however, given her Heroic BSOD at the moment, she may have simply accepted her fate.
In Spider-Man 2, the sound effect can be heard when Harry Osborn picks a dagger up from off a stand on a desk. It is not sheathed; just lifted from balancing on a stand on a desk.
Film/Spiderman3 carries this on with New Goblin's wrist blades when he attacks Peter, even when he's not even swinging them around. However, this could be justified as Peter's spider-sense shouting DANGER, DANGER rather than the blades themselves actually making noise
The 2003 version of Peter Pan has the "shing" sound even though the weapons are just being picked up from where they're hanging on the wall.
In Pirates of the Caribbean: The Curse of the Black Pearl, when Will says his father was not a pirate, then draws his sword on Jack, his sword makes the metallic scraping sound. Problem is, the sword was simply tucked into his belt, without any kind of sheath.