Of course the moth's eye is anti-reflective for another reason. It's a stealth surface. A moth's predators see in the infra red and by preventing the reflection of light from the moth's eye it can hide. And so there are military interest for example in stealth surfaces and that's copying what the moth does anyway. Here's the finished product - it's a pretty good match to the original.
Sharks provide another cue from nature.
The tiny tooth-like structures on their skin reduce drag and help them slice through the water. Here's a synthetic version for use on boats. Then there's leaf pores, also known as stomates. These little valves help plants retain moisture. The synthetic version opens and closes with temperature and could see life in fresh food containers.