While you're thinking people with shaky vibratos, the only one I can think of is probably whoever is on the recording of SMILE and plays the role of Robin (could be Anne Marie-Bobby). So horrible. Alison Fraser's wasn't very good either, because she only saved the vibrato for the short notes on "March of the Falsettos." That's what she used to sound like, but her vibrato now is very pleasant to listen to.
Who else? ALMOST EVERYBODY in the show "Two Gentlemen of Verona." Everyone was so shaky you'd swear there was a problem in the recording. Other shaky people include Michael Mandell, Colin Hanlon, Christine Andreas, Christina Applegate, and many others.
I was also thinking people with really slow and wide vibratos and stuff. I was thinking Anthony Newley, Chita Rivera (well now, she sounds like this, but in the beginning she was very pleasant), Christy Carlson Romano (I heard it in BatB, absolutely horrible), Carol Channing (now, she sounds like this), and others.
"How could she just suddenly, completely disappear into thin water?" - The Little Mermaid