Christmas fell on a Sunday most recently in 2011 and will again be on a Sunday in the year 2016.
2016
Christmas was on a Monday in 1989, since then Christmas was on Sunday in 1994, 2000, 2005, 2011 and will be on a Sunday again in 2016.
2016
21st Century: 2005, 2011 and it will again in 2016.
twice Christmas falls on Sunday in 2016 and 2022, and it skips Sunday in 2028.
Every five, six or eleven years - we are currently (as of 2012) in the five year span, which means that Christmas of 2011 was a Sunday and due to the manoeuvring of the calendar dates in 2016 due to the leap day - Christmas will again (in 2016) be on a Sunday.
Since the turn of the century, Christmas has been on Sunday twice - once in 2005 and then again in 2011 - six years later - and due to the manoeuvring of the leap day in 2016, the next time Christmas will be on Sunday won't be in 2017 - six years later - but in 2016!
It did in 2004 and it will again in 2032, in these years Christmas jumps from Thursday to Saturday.
Roman Catholic AnswerYes, if Christmas falls on a Saturday, you must attend Mass for the Holy Day, and then again on Sunday for the Sunday. In the United States, the obligation for a Holy Day is abrogated if the Holy Day falls on Saturday only for *some* Holy Days of Obligation - Christmas is NOT one of them.
Besides this coming Christmas in 2011, the last time Christmas fell on a Sunday was in 2004.
The next year in which Christmas day will fall on a Sunday will be in 2016.