I love doing things on my own, especially cinema. Day time screening, you have your snacks and the theatre to yourself. Absolute bliss. I also like getting a meal or a coffee. Have done couple solo trips but I wouldn't go on a night out alone, mostly because men are
rum and I wouldn't feel safe but also because I don't necessarily enjoy being in clubs etc. I don't mind having a cocktail etc. alone if I'm much earlier than my friends. I always have a book with me and even if I'm not feeling like reading, I watch around. Hardly anyone approaches me apart from unwanted few characters who would approach anything but that might be because I have a resting
witch face and I tend to make it very obvious that I'm not there to make new friends

Museums and shopping, I'll actively avoid going with others because it's such a pain trying to please everyone or having to adjust your pace worrying about if you are going too fast/too slow.
If there is anyone who feels awkward or self conscious about doing things alone, give it a try once it's safe to go out and about. People honestly don't care, everyone is buried in their own heads, worrying about what others think of them. If someone feels sorry that you're spending time by yourself, that tells more about their inability to be with themselves than your situation tbh.