They exist they're called LED Printers, you have to do a bit of searching for them though because they're often mislabeled as Laser Jet. If you go on Amazon for example and look for laserjet printers in the type box right at the bottom they'll tell you if it's really a laser jet or is actually a LED printer. Get an LED printer, Brother makes some good ones.
They are lightning fast even for color printing. They use toner like laser jet (which I guess is where the confusion comes from) but they work in a different way.
In contrast to LED printers, laser printers require combinations of rotating mirrors and lenses that must remain in alignment throughout their use. The LED print head has no moving parts, and the individual assemblies tend to be more compact.
Yeah, thought as much. LEDs are cheaper than lasers, so stack a bunch of them in a line, polarise the drum, bam, you have an image.
Basically, this is the only advantage. And laser heads break very very rarely. You litelarly have to drop the printer from a considerable height in order to break the laser head mechanism.
But, I can see the appeal. Laser heads and mechanisms are more expensive to manufacture.