Re Richard - most, if not all, children will never have heard of Richard being shortened to Dick. And most Richards nowadays shorten their name to Rich or Rick or Ricky. And no adult will suggest Dick as a nickname for any child they know called Richard. So it simply won't occur.
And of the Dicks that are famous, kids won't connect their name with Richard or won't have heard of them at all -
Dick Cheney
Dick van Dyke
Dick Emery
Dick King Smith
Dick Whittington
I think there will be calmer, less frilly names - some of the classic boys names and names from the 1930's: Andrew, Robert, Mark, Michael, Peter, Paul, Ian, even Timothy and John. Possibly Raymond, Kenneth, Alan, Donald too.
Girls - Angela, Susan(na), Joan, Jean, Pamela, Barbara, Greta, Sylvia, Nancy, Margaret.