By varied cuisine, I mean which cuisine has the most variety of dishes? Can you eat a different Chinese/Italian/French/... dish for 365 days each day of the world? I'll let you define what you mean by "varied". For instance, if you consider beef fried rice and chicken fried rice to be two dishes, please state this assumption.
Just a bit of a discussion I had with my mom. (We're Chinese.) She's claiming Chinese cuisine to be most varied. I actually say it's Italian, or at the least, Italian cuisine can be just as varied as Chinese.