New Year’s 2020-2021: What’s open, what’s closed Updated Dec 30, 2020; Posted Dec 30, 2020 A man walks earlier this month past a "2021" sign to be used in the upcoming the New Year's Eve festivities in New York's Times Square. (Frank Franklin II / Associated Press)AP Facebook Share New Year’s Eve and New Year’s Day bring both the holiday season and the year to an end. Here is a listing of what is open and what is closed Thursday, Dec. 31, 2020, and Friday, Jan. 1, 2021. Finance and shipping FedEx: Stores are closed New Year’s Eve and New Year’s Day.