Purity is my absolute fave cleanser ever. I hated it at first(smells like Ivory soap, which I despise), but once I ran out, I missed it terribly. I went out and bought the biggest size I could find the very next day. It lasts forever, and is GREAT at taking off makeup...esp eye makeup(main reason I love it).
I'm very prone to breakouts and sensitivity with cleansing products, but have had absolutely no problems with this. My bet is those that complained of breakouts were using something with scrubbies, AHA or BHA in their cleansers before using this. They probably didn't exfoliate enough when they switched cleansers, thereby clogging their pores.
I still use an exfoliating cleanser with AHA & BHA 2 or 3 times a week(in the mornings) in addition.
My main cleanser is Purity, though. I could never go back to not using this stuff.
As far as Hope in a Jar goes, it's a nice, light moisturiser, but stinks something awful. After a few days, it made my skin look lovely, but I could never get used to the smell. Some people like the smell(lavender, I think), but most people I've seen review it have agreed with me. NASTY smell. It did get a little better with some use, but again, I never completely got used to it.
I use Origins A Perfect World moisturiser at the moment, and absolutely LOVE it.