Juliet(te): I have always particularly disliked this name, along with Ophelia. Sorry, but they're names from Shakespeare's TRAGEDIES. "Romeo and Juliet" is generally required reading in high school, so I think it's an association most people will make. I would either put this as a mn or else go with a different variation, like Juliana.
Cora- I like Cora, although I have a bad association with it. Have you considered Corrine, Coralie, or Coraline?
Anne- I have a friend named Anne, and I've always loved her name. It is a timeless name that matures well. It's not over-the-top by any means, and has few to no negative associations.
Annabel- I actually don't like it as much as Anne. I see it as more trendy, and less sophisticated. Simply put, when she's a 35 year old lawyer, which will fit better... Anne or Annabel?
Elsa- This feels too old to me... not sure why, though.
Anne is a keeper.
Anne is my all time favorite name! I agree that it has it all. I love the simple flow of Anne Cora. I am still sad that my husband didn't allow me to name my daughter Anne, but it is her middle name. I also love Juliet and Elsa. I will say that Cora Anne is a gorgeous combination as well. So, basically, I am not help at all to you. Ha Ha.
As the mother of an Annabel, obviously, I love it. It has not limited her in any way. She loves princesses and pink, but also getting dirty, playing catch, and generally anything her brother and all male cousins are doing. I've always found it odd that people should think a name will dictate an individual's pursuits. I love Anne, Cora, and Elsa from your list, as well. Juliet is beautiful, too. In reguards to a middle for Cora, Lillian is nice, as would be Juliet or (to a lesser extent due to the a's) Annabel.
I adore Annabel from your list, it's easy to get the nickname Anne if you like it. I'm not really a huge fan of the name Anne because I've never had good associations with the name (But that's just me), but I do love Annabel with the nickname Anna.
I really love Elsa from your list too BUT Elsa Cora have the repeating -ah sound at the end, so I would use Elsie. I like Juliet, I think it's very pretty but I just don't love it. Although I think it would be quite refreshing to see the name Juliet on a child.