My grandmother would NEVER use anything but plain Ivory bar soap to wash the dishes with! To her way of thinking, the bottled dish liquid was wasteful...
I know castile soaps are in vogue right now, but they just don't get me clean in the shower...for that, I need old-school Ivory or aque Zest (although they have CHANGED the Zest formula from synthetic to soap ingredients, grrrr....)
Since you mention Dawn, and speaking of changes...P&G recently superconcentrated the original Dawn formula, and changed the little bottle. For what it's worth, the new bottle is horrible to hold on to, when your hands are wet and sloppy from cooking, they put this ginormous new flip-top cap on the bottle that only catches the excess when you pour it out, and, even though the bottle is marked "Original Scent", they have engaged in revisionist marketing, because that ain't the scent I remember.
Sorry, rant over

...I just don't get why they keep "improving" my Holy Grail products to a point where I can't stand them anymore!
Years ago, they had a "Dawn Free" unscented, colorless dish liquid...I'm usually not one for such variants, but it was PHENOMENAL and kicked every other Dawn format behind, hands down...and, of course, they discontinued it!
CR recently recommended the Ecover dish liquid product....I tried it, and have to admit, I was impressed with it.