I'm not sure what you're asking for. Crickets chirping in time with the temperature seem to me a purely natural creation of information.
Actually, the running down of the universe has created all kinds of information. The early universe we see from the Cosmic Microwave Background is a diffuse, almost perfectly even gas of a few very simple elements, mostly hydrogen. Not much information there, just tremendous potential energy waiting for gravity and nuclear chemistry to create galaxies, stars, and planets.