I've tried EVERYTHING. The mass-markets, the chi-chi boutique brands, the "organics".....
I like Zest Aqua bars (deodorant wash for summer), Olay For Very Dry Skin (the shea butter one) Body bars and Body Wash, Dove Regenerating Calming Night Body Wash with Honey and Vitamin A, Ivory with Honey Body Wash (recently discontinued), old-school Dove Original bars, and the Walgreens knockoff.
When I am in the throes of a depressive episode, or it is over ninety degrees out, I like Dr. Bronner's (DILUTE!! DILUTE!!) or Trader Joe's Peppermint Liquid Castile Soap.
For the washbasins, I've always preferred Cashmere Bouquet or Olay bars, but I recently tried the new Dove Handwash and much prefer it (I never went in for Softsoap and the like)....
I don't care much for the male-marketed stuff they have out now, like Axe, Old Spice, and other shower products. They remind me too much of the '80s and Drakkar Noir....my very dry skin doesn't tolerate it, either.
I like the Kiss My Face Cold and Flu Formula Bath Soak and the Fa For Sensitive Skin Shower Gel.
In the dollar stores, I find Palmolive and Lux bar soaps from abroad. The Lux from the Middle East and Asian countries is much milder than the Lux from Canada, which resembles the old-school American-style Lux, that was similar to Ivory.
The best bar I found in the discount bins is the Palmolive NutriMilk white bar from Mexico, which is upscale and seems to want to compete with Dove in the Mexican market.
Dish detergent: Palmolive Lemon Oxy with Bleach, Sun Light Sensitive, Crystal White Octagon.