Use Google Scholar to search for research papers that discuss the Functions you are interested in, or to search for organisms which live in the same habitat your solution will be implemented in.
Here are a couple of examples for using Google Scholar.
Go to Google Scholar and search 'biomimicry insulation.' One result is a paper called 'Biomimicry in textiles: past, present and potential. An overview.' Here you will find fascinating examples of textiles inspired by nature.
Perhaps you are interested in building. A search for ‘biomimicry store energy’ will lead you to a great paper called ‘Biomimicry and the Built Environment, Learning from Nature’s Solutions.’ This paper provides excellent example about generating as well as storing energy.
Sadly, not all scientific papers are free to read, but plenty are.