I don't actively dislike a little vibrato, but I'm not a fan either, so was really dismayed to discover I have a 'natural' vibrato going on with my voice. A kind mudcatter gave me some tips on controlling it, and I almost have it mastered, but it still pops up here and there, mostly in the upper range of my voice - I don't feel I'm straining to reach those notes, it just happens. When I 'feel it' happening, I find I can often stop (smooth out the tone?) by doing some indescribable (by me) action somewhere around my larynx. This indicates, to me, anyway, that it isn't entirely breath control that controls vibrato.

But with all my efforts, damned if someone didn't tell me they really liked my vibrato and wished they could do it.