The capital of the United Kingdom makes a solid and attractive twenty-first-century choice, with a lot more substance than Paris. This girls' geographic name has had a remarkable ascent: it came onto the popularity list in 1994 and climbed into the Top 100 in 2011. (It's now at 105.) It's still in the unisex column though--it's now Number 506 for boys, with one boy starbaby (Saul 'Slash' Hudson) and one girl (Neal McDonough).
There was a rich girl character named London Tipton on the Disney TV series The Suite Life of Zack and Cody beginning in 2005.