January 1, 1900 - New Years Day - fell on a Monday.
New Years Day 2000 was on a Saturday.
New years day in 1971 was a Friday.
Monday was new years day 1990.
New Year's Day would be on a Wednesday
Thursday
New Years Day will be on a Friday in 2010.
its different every year
New Years was on Friday in 1999.
New Years Eve will be on Sunday December 31st, 2023 and New Years Day is on Monday, January 1st, 2024.
New Years Day 1952 was a Tuesday http://www.clndr.org/1952/January
New Years Day is exactly one week (7 days) after Christmas. The other way around, Christmas is 358 days after New Years Day, except in leap years, when it's 359 days.
New Year's Day and Christmas Day of the same year never fall on the same day. The 1st of January 1945 was on a Monday and the 25th of December 1945 was on a Tuesday. That is completely normal. A week after Christmas Day is New Year's Day, but that is New Year's Day of the following year. So Christmas Day 1945 would have been on the same day of the week as New Year's Day 1946, the next year. In the same way, Christmas Day 1944 and New Year's Day 1945 were on the same day of the week.