The next time is 2012, 2017, and 2023.
The last time January 1 was on a Sunday was 2006. The next time is 2012. The next time after that is 2017.
After 2010, the next time, it falls on Thursday is January 2016.
As of 2017, the next time the 1st of January will be on a Sunday will be in 2023 and then 2034.
The next time January first falls on a Friday will be the year 2016.
The next time September 2 falls on a Sunday is in 2012.
As of December 2014, the next time the 13th of February will be on a Sunday will be in 2022.
The next time February first falls on a Sunday is in 2015.
At the time of answering this question (in 2013), the next time Christmas falls on Sunday is in 2016.
The next time Pentecost Sunday falls on May 31 is in 2020.
Easter Sunday will next fall on March 22 in 2285.
2033
2095 is the next time Easter Sunday will land on April 24.