As a child, my parents would host a neighborhood cocktail party. We children would go to bed early then be woken up around 11:30. We'd join the adults to watch the ball come down in Times Square on TV, then run to the door and bang pots and pans with spoons. A WWII veteran neighbor would always fire off 21 shots to honor his buddies who were killed in the Philippines. We ate mini-hot dogs in cocktail sauce, chips with onion and clam dip, cheese and Ritz crackers, pickled herring in cream sauce. The children had cranberry juice and a tiny sip of champaign, after which time we went back to bed. The usual New Years Day dinner was roast beef, mashed potatoes and gravy, string beans, creamed baby onions, French bread and butter with vanilla ice cream for dessert. I do not recall going to Mass, so I do not think we went.
Nowadays, my parents go to bed their usual 9:30. Any 'celebration' is done prior to then. The novus ordo churches in this area do not seem to observe any Holy Day of Obligation on January 1. There is none but the usual 9:30 am daily mass listed in my parents' n.o. bulletin. I have no special plans this year. I'll have to head directly for home after Mass (SSPX) as it is back to work at 6:30 am on Jan. 2.