The January page of a leap year is shown. In which year will this complete calendar be usable again?

A leap year's calendar repeats only in a leap year that starts on the same day. Leap years after 2032 move 1 January on by 5 each time (4 years = 5 odd days): 2036 Tue, 2040 Sun, 2044 Fri, 2048 Wed, 2052 Mon, 2056 Sat, 2060 Thu. So 2060, i.e. 28 years later. (2038 is the ordinary-year rule of +6 applied wrongly.)