Europe is the world's most expensive continent for U.S. travelers to visit; this probably doesn't shock anyone who's ventured across the Pond. You might be surprised, though, to discover which cities in Europe are remarkably affordable places to vacation. We analyzed the costs of hotel stays, meals, airfares, and activities in popular European destinations to find out which spots offer the best value for the euros and pounds. Here are 10 cities in Europe where budget-minded travelers can find low-cost hotel rooms, free activities, and travel bargains galore.