Don't limit your 'trying things' to just new skills, however. Consider new experiences you'd like to have. Others have mentioned travel, skydiving, etc... Those experiences are what make the memories that last a lifetime, long after you're past the novelty of being able to plunk out tunes on the piano. Here are a few suggestions:
* Go eat at a Michelin 3-star restaurant, even if it the price seems crazy.
* Next time the Mormons or Jehova's Witnesses knock on the door, invite them in and listen to what they have to say.
* Go to a concert, especially one that's outside your "norm" (Been to a few rock concerts? Go to the symphony. Or vice-versa).
* Volunteer at a soup kitchen, homeless shelter, or some other place where you'll work hard for nothing more than feeling good about contributing to society.
That said, when you do tackle the skill stuff, I highly recommend Josh Kaufmann's book "The first 20 hours" (http://www.amazon.com/The-First-20-Hours-Anything/dp/1591845...). In which he teaches how to become "not a beginner" at something fairly quickly.
Good luck!