I have an LG Top Loader HE without an agitator like the one Neesie described - I love it! I have washed king size quilts in it and been happy with the outcome.
The only thing I dislike about the HE's is the amount of water used - especially when washing towels - every once in a while I have to wash them on a sanitizing wash - otherwise they get smelly - not sure why - otherwise I love it. I am anxiously awaiting a new set of lines on my clothes line so I can hang those pesky towels outside to dry in the sunshine - that will definitely help with any smells.