License Zero offers a choice of new public licenses for your projects. Parity requires others to release software they build with your work. Prosperity limits commercial use of your software to a trial period.
Which public license is right for your software project?
Your first source of answers is the official guide. As a supplement to the guide, EXAMPLES.md lists a number of well known open-source software projects and use cases, with notes on how they would play out under Parity and Prosperity. You can use those examples to check your reading of the licenses, and get a better sense of which public license will work best for your specific project.
Reading these examples without reading Parity and Prosperity for yourself is a big, dangerous mistake.
Hours and hours of work, plus tons of inside and outside feedback, went into making the licenses short, simple, and easy to read. Whether you're deciding which license to use, or handling a dispute with someone you think isn't following your rules, the single source of truth is the text of the license you choose, not these examples or the guide.
Parity and Prosperity are only about as long as this README. Read them first!