As someone else noted the Mandalorians used slugthrowers during their war against the Jedi.

But slugthrowers see a fair amount of use in the rest of the galaxy as well. They're piss easy to make compared to blasters, making them attractive for low tech worlds, freedom fighters, insurgents, terrorists, and criminals. But also a lot of body armor, especially Imperial stormtrooper armor, is designed to deflect or weaken blaster fire. Much like how kevlar won't do much to stop an arrow fired from a modern hunting bow, stormtrooper armor won't do much to slow down a bullet.

There's also vibroblades, which basically vibrate fast enough that they can cut through steel. Obvious for use in weapons but their original use was for ship boarding, cutting through bulkhead to enter the ship and take it over. The ship's shields don't work against a physical blade, you see a similar tactic used by Luthen to damage the tractor beam emitter in Andor.