I used to use Mitchum, I've heard great things about Dove.
A little over a year ago I stopped using any deodorant, or even soap and shampoo/conditioner when showering. For a few weeks my skin and hair were oily but them it just magically cleared itself up and I haven't put any unnecessary chemicals on my body since.
I have a pretty close group of friends who I didn't tell about my experiment until a couple months into it and they were shocked when I told them. These are they type of people who would tell me if I stink, even when questioned, they couldn't tell. I still get dates, even second dates, so I guess the human body might be able to cope without slathering it with chemicals.
To be clear, I still shower daily, I wash thoroughly with a washcloth, even my hair, I just don't use any soaps.