A budget-minded couple can stretch a late-December stay in Vienna by treating the city itself as the attraction: walk the Hofburg quarter, Ringstrasse palaces, and Schönbrunn grounds to soak up imperial history without ticket stacking, then thaw out in a neighborhood Kaffeehaus with one shared Melange and pastry instead of tourist-priced meals. Musical heritage is cheapest in churches, standing-room opera, and leftover Advent concerts rather than New Year’s balls, while remaining Christmas-market stalls and a multi-day transit pass keep evenings affordable through New Year’s Eve. Between December 21 and January 1, prioritize free façades, window-shopping the Innere Stadt, and simple coffee-house lingering so Vienna’s grandeur, music, and café culture stay central without luxury rates.