Does anyone know which is the dish where we have a pot/pan of boiling vegetables/meat in the center and people sit around it with their noodles and soup bowls and keep picking things from it and eating?
I think you mean a hot-pot stew (huǒ guō). There are many styles, Wikipedia has a fairly good article about it.
In Japan they call it nabe. Sometimes they add rice to it instead of noodles. As nico pointed out it is essentially a hot pot stew.