Cuddling with people who are willing to accept it as just cuddling might be a good place to start.

Another avenue to explore is, imagine you had enough resources that neither physical health and safety nor status contests presented any challenge to you, but not quite enough for world-shattering extravagances. Beloved king of a small, peaceful city-state, maybe, with a staff of wise and dutiful ministers who can handle all the routine administrative drudgery. What would you do with your time? Appeal to the senses with fine food and music, perhaps, or explore mathematics?

Once you have a list of things, you'll probably notice at least a few of those diversions don't actually require regal-level assets to dabble in and enjoy, so try the practical stuff for real and explore different variations until you find something you like. Then, for each of the 'sweet spots,' go find a community of hundreds of people on the internet who have been obsessing about that particular sort of enjoyment for longer than you've been alive, and mine them for ideas, bearing in mind always that the only wrong ways to have fun are the ones that either a) have unacceptable long-term consequences for yourself and/or people you care about or b) don't actually result in fun.