Bania
Visit the Bania, a Russian style sauna for men and women non-communal. There are a few located in L'viv and well worth the trip. The experience can be mildly confronting for the prudish Westerner, as all activities are conducted in the nude but don't worry, it is a highly civilized environment.
S. Krushelnytska Opera House
Svobody ave. in the very heart of l'viv the historic opera house offers regular performances of various operas and ballets. tickets can be purchased at the theatre cashier "kaca" ranging in price from 50uah to 80uah. even if opera and ballet is not your cup of tea, a night at the theatre is worthwhile, at the very least, to enjoy this spectacular venue.
Gutsulsky Dvir
36 Schyretska str. is one of the most picturesque ethnic restaurants in the city. Ukrainian ethnic cuisine, great atmosphere of wooden restaurant with lots of trees around is a must to visit while staying in L'viv.