In a nice day, with good visibility the view of the mountains is beautiful, especially if you take the lift to the ski tracks. You should get to the ski tracks at least once even if you do not ski yourself
Belitsa Bear Park
33 kilometers from Bansko is the Four Paws Bear sanctuary, offering a new home to bears that were previously forced to dance. Situated in a huge park with several large enclosures, the bears can now roam relatively freely with others of their kind. Upon my visit, there seemed to be no-one there so unsure of entrance fee's etc. Information suggests that there are tours that leave hourly. A taxi unofficial! from Bansko, with 2 hours wait cost 60Lev though a lower price could probably be gotten with more bargaining over beer. Take good walking shoes.