There are plenty of food related traditions such as eating twelve grapes, one for each month of the year. You can't go wrong with food, though I had never heard of not eating lobster or chicken. According to the tradition, lobsters walk backwards thus reversing your luck and chickens have wings and your luck will fly away. I guess if you can believe in the greens and peas, you might as well believe in this, huh?
I've been halfway around the world but only experienced New Year's Eve in one foreign city and that was Naples, Italy. When I was their in the late 80's, we were warned to be off the streets at midnight as Italians believed in "out with the old." Amongst the sound of fireworks could be heard the thunder of furniture and appliances hitting the streets as the items were tossed off balconies and out doorways. What a way to celebrate though I've read that it's not as celebrated as it was then.
Below are links to some of the more prominent traditions around the world. Do you celebrate a tradition that isn't quite as mainstream?
Country Living - 15 Best New Years Superstitions That Could Bring You Good Luck in 2021
Good Housekeeping - 15 New Year's Good Luck Traditions From Around the World to Borrow for Your Celebration