The Butterfly Cup is a food-grade paper beverage cup with an integrated lid. The French-fry-container-like shape allows the top flaps to be folded in, forming a seal, and at the corner leaves a little spout you can sip from, eliminating the need for a straw:
It can be used for both hot and cold drinks. Surprisingly, the company says, the cup does not have the plastic lamination inside that most drinking cups do; instead they use a "cutting-edge water-based dispersion waterproofing technology," whatever the heck that means. The end result, they claim, is that the cup biodegrades like regular paper, or can be recycled.
I have to say the form is pretty clever, forming that natural spout: