Personally, I enjoyed Atkins -- except for induction phase. Once you learn to get creative with your choices, then it's pretty easy. Even DH liked some of the food. 
I've also done the Liver Cleansing Diet and it's pretty tough, especially in the middle bits. But -- really, to be honest, weight loss is supposed to be a byproduct of that one, NOT the initial reason to go on it. And yes, it DOES work if your liver is in strife like mine was.
Sally
