Step 1: Recall the rule for repeating calendars.
Two years share the same calendar only when they start on the same weekday and match in leap or non-leap status.
Step 2: Check the leap year status of 2025.
2025 is a non-leap year, so we must look for another non-leap year with the matching day offset.
Step 3: Count forward and confirm.
Tracking the day-of-week shift year by year while skipping leap years correctly lands on 2031.
\[ \boxed{2031} \]