The most recent year was 2002. Coincidentally, Easter falls on the same date in 2002 and 2013.
The next year that has the same day-date combination as 2011 is 2022.
Yes, the year 2094 will have the same day-date selection as 2010.
A coincidence
The most recent year with the same day-date correlation as 1980 was 2008. The next year with the same day-date correlation as 1980 will be 2036.
Taking just the 20th and 21st centuries, these years have the same day date combination as 2002: 1901, 1907, 1918, 1929, 1935, 1946, 1957, 1963, 1974, 1985, 1991, 2002, 2013, 2019, 2030, 2041, 2047, 2058, 2069, 2075, 2086 and 2097.
Prior to 2011, the last year with the same day-date arrangement was 2005. After 2011, the next one will be in 2022.
2036
1981
No
thursday
The most recent year that matches 2013 day for date is 2002. That includes the date of Easter and all the dates associated with it from Mardi Gras to Penticost Sunday.