I lived in Hong Kong for a long time and some of the typical dishes are:
Pork, especially shoulder and/or hock, chicken, fish (the pronunciation of fish is similar to "excess", which is good omen), shrimp (the pronunciation of shrimp sounds like laughter, another good omen), lettuce (rhymes with "getting rich"), fresh or dried oysters, and shiitake mushrooms.
Many families also have at least one vegetarian meal (and sometimes an entire day of vegetarian food) as it is a good thing to avoid killing on New Year's Day.
Since Chinese holiday meals are 1. intended for a large crowd and 2. requires either a cook or the woman to stay in the kitchen all the time, it is simply not practical to replicate such dishes.
I love the food, that's a good enough reason to celebrate, isn't it?