[name]Jack[/name] and [name]Oliver[/name] are numbers 1 and 2 here in the UK, so you might like some other names enjoying popularity here :
[name]Alice[/name]
[name]Charlotte[/name]
[name]Connie[/name] (could be a nn for [name]Constance[/name])
[name]Daisy[/name]
[name]Esme[/name]
[name]Flora[/name]
[name]Florence[/name]
[name]Francesca[/name]
[name]Freya[/name]
[name]Harriet[/name]
[name]Imogen[/name]
[name]India[/name]
[name]Isla[/name]
[name]Lola[/name] (could be a nn for [name]Louise[/name]/a or [name]Paloma[/name])
[name]Lucy[/name] (could be a nn for [name]Lucille[/name], [name]Lucinda[/name] or [name]Lucia[/name])
[name]Maisie[/name]
[name]Martha[/name]
[name]Matilda[/name]
[name]Milly[/name]/[name]Millie[/name] (could be a nn for [name]Camille[/name] or [name]Camilla[/name], too, or [name]Amelia[/name])
[name]Phoebe[/name]
[name]Poppy[/name] (can be a nn for [name]Penelope[/name])
[name]Rose[/name]
[name]Ruby[/name]
[name]Scarlett[/name].