Don't we already have WebP?
BPG looks good upon cursory inspection. It seems to be more efficient than WebP and supports 42-bit color. It also has .png's features of transparency and lossless compression although I didn't see anything mentioned about animation to replace .gif.
Bonus: since it's based on h.265 hardware support will come naturally and should be just a software update for devices that already have HEVC capability.
As a bonus, you won't have to pay for a HEVC decoder license.