Outdoor malls are great, but not everywhere has them of course if there's a lot of cold weather in your area.
I always say I want to go to the airport, just to watch the planes and jets take off or to grab a bite - people watching at the airport is so interesting.
Museums are nice, or places like cultural or botanical gardens. You have to pay, but if you get a year pass, the cost is so negligible if you go often.
As others have said also, the library is calming. In that same vein, maybe poetry readings if you like that sort of thing? Sometimes there is participation in that authors allow people to ask question or give their opinions. Also, if you get into it enough, maybe you could do a reading of your own during an open session one day.