My wife's a bit of a Russophile. So in years where we forgot to do the holiday shopping, we exchange gifts on Russian Christmas (i. e. January 7, Gregorian). Or, if we're really forgetful, Russian New Year.
This is due to the Soviet Unions downplaying of religion, but understanding the need of a yearly get-together.
So, my girlfriend celebrates NYE as if it were Christmas, Christmas is seen as "not really important" and she didn't even have a concept of Christmas being on Dec 25th (which, consequently was when she was born herself)
It's worth noting that even most new calendarists, like the Greeks, still celebrate Easter at a different date than the Catholics.
The calendar question is extremely infected and especially the Russians consider it a very crucial issue.
This is much to the annoyance of Spanish kids with foreign friends :)