For girls, I have soft spots for Camilla, Clarissa, Elizabeth, Eloise, Eve, Felicity, Florence, Hannah, Honor, Joy, Leonora, Mary, Miriam and even Virginia (though I'm not sure a daughter would thank me for the latter). I also like the Welsh form of Mary (Mair), but I haven't heard of one of those in person yet.
For boys... well, I only like a few names, anyway! Aubrey, Edmund, Henry and Victor. John is a good solid name, too.
While teaching, I came across Rosa, Kitty, Kathryn, Vincent and Peter. I was not as much of a fan of Derek, though it always raised a smile when he got called out for certificates in assembly. One expected a 50-year-old to rise from the audience, not 5-year-old Derek!
I came across a baby Caroline, which surprised me, and a friend has a young Hector. It made him sound like he popped out in a flat cap and a pair of tweed plus-fours, but he's lovely!