NY - Rockefeller Centre: It's one of the biggest frozen ice rinks. You actually have space to skate. But oddly enough there's a huge fountain that still has running water. Shouldn't that be frozen?. There are 'packages' including breakfast skates with Santa. (But if you're into Santa....)
London - Somerset House: You're skating under a heritage building, steps away from the Thames but with loads of privacy. There's a Tiffany's tuck shop where you can get jewellery and champagne. If you're looking for a 'Holly Golightly experience' this could be a dream for you.