Bicycles are probably one innovative and competitive markets out there, the amount of cutting edge technology used to shave gram weight from components is absurd, there are thousands of manufacturers for each niche in the bicycle industry.
Somewhat unfairly, I consider the above as variations on a theme, rather than innovative new solutions.
Three problems I'd like to see solved (admittedly, with no idea other than "by magic" at present):
- It's absurdly easy to steal bicycles, locked up or otherwise.
- Trip statistics magic mentioned in grandfather comment
- Making cycling in wet/windy conditions more pleasurable without relying on special clothes
I don't honestly know about that, though; I can imagine each one of these being so integral to the bike itself that they simply couldn't be peripherals.
Agreed re: bike theft - but it also grates me that if I drive to the office, a sudden unexpected downpour makes zero difference to my life, whereas on my bike... wurgh.