A couple things.
Vibrato has one T. If you want to look like you know what you're talking about, spell it correctly please.
If you have a problem with Carolee Carmello's vibrato, then you should have a problem with Julia Murney's, as they are very similar. Personally, I think that both of these women are intensely talented and I enjoy the uniqueness of their voices.
I feel that Linda Eder's Vibrato is absolutely fine, maybe not the most even, but it certainly does not "Grate My Nerves."
Raul Esparza does have a fast vibrato, but it is only really noticeable when he is belting f5 and up. It does get to be a bit much. He also sings a little throaty sometimes, sounding a bit like Kermit the Frog. But, again, he is unique and in his lower register has a great tone.
Sarah Brightman, although quite often referenced as "legitimate" is by far the worst singer of all of these. Poor breath support, heaving jaw, improper placement and immature musicality all are signs of this for me. She is just not that great.
Merman is Merman. If she didn't do what she did, female voice in musical theater would be totally different. Was she perfect? Not even close, but I think the fact that she was the first strong, although sometimes flat, female voice in theater.
Patti Lupone has a very interesting voice. When I saw her in Sweeney, she did have some pitch issues, but I do like her tone. She also has a great color to her voice, very different now than in Evita. She, along with Merman, is a powerhouse. From belting a Gb5 with strength and placement in Evita, to commiting to her lower range in Sweeney, she is someone who knows her voice and it's growth. Her voice has matured and she knows that she shouldn't sing songs she sang in her thirties.
Jodi Benson has a pretty voice. Ask any girl (or boy) who has grown up watching "The Little Mermaid." Her vibrato was quite fast in Crazy for You, but on listening to it a few times, you can hear that she has support issues as she belts in her upper register. She just lacks control in that part of her voice. In her mix/head voice, her vibrato is quite natural and pretty, when she belts it becomes a little less comfortable.
"The only way we live beyond our lives is to connect and carve ourselves into the souls of those we love." -Little Fish