I've been no-soap no-shampoo for about four years now (or is it five? I've lost track), and bathe every second day unless I'm really exercising. I do need to rinse my scalp with a weak vinegar solution every couple of weeks, because otherwise my seborrhea acts up. But generally, I'm much less stinky than before, I save money, I'm less itchy, my skin feels better/softer, and travel/camping is easier. I scrub my skin a little more with a washcloth than I did before (I think I used to think that applying soap and then rinsing it off was enough!). I've read online where some people use long-handled brushes and swear by them, but I haven't tried that yet.
Everybody who says "If I don't use soap/deodorant/shampoo for a day, I get stinky or greasy": Yes, for sure. Your body is in defence mode all the time, producing all kinds of crap in reaction to all the crap you're putting on it. It takes a week or two to level out, longer if you've really been dousing yourself with stuff. It's good to start off during a camping or biking trip, or some other time when you don't have to be immaculate for other people.