In my field of second language acquisition, we are constantly faced with situations like the one you and your boyfriend are in, albeit in terms of students learning a new language. It is a question of motivation really.
Exploring, traveling, learning a new skill, studying, etc take us out of our complacent comfort zones. They also require lots of internal motivation. The burning feeling inside to do those things is often the most important quality (sometimes more important than intellect, aptitude, etc.) in determining your success. For example, in foreign language learning, it has been demonstrated that motivation correlates very well with proficiency. Learning a foreign language requires a long term commitment of years and years. People who have the internal motivation to learn it, often have the advantage of not giving up easily.
External motivation is the kind that pushes us to do things for ourselves which we might not necessarily want to do. (Think studying for a test to get a good grade, but not really caring about the material). Your boyfriend may have absolutely no interest in learning about music, wine or any of the other things that you mention, but he probably can be motivated at least in the short term to get out of the house and do some of those things, but he will do so not because he wants to, but because he rationally sees that he will have to do so to keep you happy. That kind of motivation correlates poorly with projects that require long term concentration.
In other words, you might get him to do those things a few times, but in the end, his long term commitment to YOUR goals is unlikely unless he too shares a desire to achieve them. You might try taking his hands in yours, looking him in the eye and saying something like, “Honey, I really want to start doing X, Y, and Z. It would be great if we did those things together, but I understand that you might not have any interest in them. I just wanted to let you know that I will be spending time from now on in those areas because they are really important to me and I don’t want you to feel left out. I’m still your girl, but this is just a heads up that I might be a little more active than I used to be.” Hopefully he won’t feel sidelined or neglected.
Now, as for you…..I suspect that you posted this because while you have a lot of desire to do things beyond your daily routine, you might not have the courage to do them alone. Many people realize too late that while they thought that they wanted their partner to do things with them, in fact what they wanted was another person close by to take the nervous edge off of some experiencing those new things. At the risk of sounding like an armchair phychologist, do you really NEED him to join you to do all the things that you say you want to explore? Can you do them with one of your galpals? A relative? Or just by yourself?