Longevity Noodles
If one was to 'rank' the importance of a chinese dish during for the New Year, I would say it would be Longevity Noodles.
A wish for good fortune -- Good Luck, Prosperity, Longevity, Happiness and Abundance -- is central to the Chinese way of life.
This was also pretty straightforward to make and it was mighty tasty too. One note - the type of noodle you use cooks very quickly, so be sure to keep an eye on it when you do cook with it. I had to ask in the Grand Asia Maket which noodles I was to use.