The 21st century started on a Monday, which means that Christmas of 2000 was a Monday, which means that Christmas of 2001 was a Tuesday.
The next year in which Christmas day will fall on a Sunday will be in 2016.
Yes, since 2016 it a leap year Christmas will fall on Friday in '15 and Sunday in '16.
2017
In 1921 Christmas Day was on a Sunday.
December 2016
2016
2017
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twice Christmas falls on Sunday in 2016 and 2022, and it skips Sunday in 2028.
Yes, because in the Christmas of 2010 Christmas day was on a Saturday so Boxing Day was on Sunday
Yes, it fell on Sunday in 2011, and because of the leap year in 2016, Christmas will skip Saturday and fall on Sunday!
At the time of answering this question (in 2013), the next time Christmas falls on Sunday is in 2016.