I love your taste 
I’m British too, although not a teen, and my middle name is [name]Alice[/name] - I went by it for a while as a teenager. Could I ask you if you find your name popular? When I went by [name]Alice[/name], I always felt that there was another one, and now I know so many … But it’s never on the list of common names, so perhaps it is just among people I know?
Girls:
[name]Thalia[/name] - I’m sitting on the fence on this one.
[name]Clara[/name] - I adore! Vintage perfection.
[name]Eliza[/name] - I actually prefer [name]Elizabeth[/name], although I’ll admit that [name]Eliza[/name] has more sass.
[name]Jessamine[/name] - it’s a little frilly for my taste (although, I tend to like very feminine names if they end in A). That said, I adore the cute nn [name]Jessie[/name].
[name]Juliet[/name] - classic and wonderful.
[name]Rosina[/name]/[name]Rosalie[/name] - pretty, and I adore the nn [name]Rosie[/name] (my DD is [name]Ambrosia[/name] nn [name]Rosie[/name]). I fear that [name]Rosalie[/name] may become popular due to the Twilight phenomenon and the trendy -lee end sound, though. I think [name]Rosetta[/name] is very pretty, too.
[name]Florence[/name]/[name]Flora[/name] - both are beautiful names, although [name]Flora[/name] is my personal favourite (and my niece’s name, so I am biased). I think it is feminine, flowery and whimsical, yet substantial, classic and fairly formal, and I think it will age very well.
[name]Amelie[/name] - I think this one has a beautiful sound, but I was put off by its rise in popularity after the film.
[name]Adeline[/name] - I quite like this, but it reminds me a little of [name]Addison[/name], which I detest. I think [name]Adelaide[/name] is nice, too.
[name]Stella[/name] - I’ve never seen the appeal, but a lot of people seem to like it.
[name]Esme[/name] - beautiful, and brings to mind a fashionable, successful Frenchwoman.
[name]Emmeline[/name] - due to the popularity of [name]Emma[/name], I would avoid all [name]Em[/name]- names, but this is very pretty.
[name]Anneliese[/name] - I adore this! Such a beautiful name … I like [name]Andromeda[/name], too.
[name]Seraphina[/name] - beautiful.
[name]Isobel[/name] - a pretty name, although I personally prefer the [name]Isabel[/name] spelling - despite it being more popular, it just looks more feminine to me.
[name]Ruby[/name] - I’m not so fond of this one.
[name]Violet[/name] - I utterly adore. It’s so feminine, but not fussy. It seems to be getting popular, though …
[name]Lottie[/name] - I adore this, but I do think it has to be a nn. Personally, I don’t like [name]Charlotte[/name], but at a stretch you could try [name]Lieselotte[/name]?
[name]Josie[/name] - I quite like this as a nn for [name]Josephine[/name], although it seems almost dated to me.
[name]Annabel[/name] - popular, but beautiful. And I love that you haven’t used the [name]Annabelle[/name] spelling, which inexplicably annoys me.
[name]Lilia[/name] - beautiful and lyrical, with the adorable nn [name]Lily[/name].
[name]Sadie[/name] - this has a lot of sass, but personally I prefer calm, demure [name]Sarah[/name].
[name]Mireia[/name] - very pretty and whimsical.
[name]Lucia[/name] - I think the nn [name]Lucy[/name] is darling, and I prefer the loo-see-ah pronunciation over loo-sha, personally.
[name]Margot[/name] - the sound of this one is so satisfying, and it is a beautiful, unusual, somewhat exotic classic; I love it!
[name]Beatrice[/name]/[name]Beatrix[/name] - classic and feminine without fuss, I really like this one.
Boys:
[name]Alfie[/name] - very sweet and handsome. I feel like it should be a nn, but [name]Alfred[/name] is very grandfather. I wish I liked [name]Alphonse[/name] more, but I do hear ‘ponce’ when I say it.
[name]Theo[/name] - I like this, but I absolutely love [name]Theodore[/name] (nn [name]Teddy[/name] is my personaly preference).
[name]Jude[/name] - this is strong but somehow not too blunt, and I do like it. I think my like may be encouraged by the Beatles song Hey [name]Jude[/name], which I love, although I doubt he would love hearing it in the end, because I guarantee almost every new person he meets would mention it (and I can’t see the Beatles’ fame waning any time soon). Also, I imagine I would personally find it too close to [name]Judas[/name] for my comfort if I didn’t like the song so much.
[name]Dashiell[/name] - nn [name]Dash[/name] reminds me of a cartoon character, but I think the full name is quite handsome.
[name]Emmett[/name] - a handsome, vintage choice. I fear it may surge in popularity due to the Twilight phenomenon, though 
[name]Raphael[/name] - naturally, I adore this, as it is the name of one of my sons. We call him [name]Raffy[/name] a lot of the time.
[name]Jasper[/name] - this is my other son’s name! Of course, I adore this one, too.
[name]Leo[/name] - I adore. It could be a nn for [name]Leopold[/name] …
[name]Charlie[/name] - I love this, but it really can only be a nn for [name]Charles[/name]. I think [name]Charles[/name] nn [name]Charlie[/name] is brilliant, though - a formal name for office situations, and for when he is in trouble, and a friendly nn.
[name]Sullivan[/name] - this leaps out to me less than your other choices.
[name]Henry[/name] - classic, and strangely satisfying to say.
[name]Atticus[/name] - a little bit different, and with a very nice sound.
[name]Nathaniel[/name] - very handsome.
[name]Louis[/name] - adorable on a little boy and handsome on an adult; I love this one.
[name]August[/name] - seems to be getting popular, but I quite like it (a lot more than I like [name]Augustus[/name], at least).
[name]Harrison[/name] - this one is so-so for me, but I do love the nn [name]Harry[/name].
[name]Oliver[/name] - wonderful and underused.
[name]Elias[/name] - quite nice. You could get the nn [name]Eli[/name] out of this one, too.
[name]Freddie[/name] - very cute and handsome, but I really do think this can only be a nn for [name]Frederick[/name]. (Or [name]Wilfred[/name] or [name]Alfred[/name] …)
[name]Gabriel[/name] - popular in the States, but I think this one is so handsome. The nn [name]Gabe[/name] is too blunt for my taste, though - the only British [name]Gabriel[/name] I know goes by [name]Gaby[/name], but I don’t think that’s common!
[name]William[/name] - a dependable classic.
[name]Joseph[/name] - I adore.
[name]Eli[/name] - this has always felt like it should be a nn to me.
[name]Everett[/name] - I love this one. It seems strong, but not blunt. I also like [name]Evander[/name].
[name]Nico[/name] - I quite like this one, although not nearly as much as some of your other choices. This could be a cute and quirky nn for [name]Nicholas[/name].
[name]James[/name] - a perfect, simple, handsome classic.
[name]Isaac[/name] - quite nice.
Since we seem to share a lot of the same taste, you may like [name]Dorothea[/name]/[name]Dorothy[/name] nn [name]Dottie[/name] and [name]Benjamin[/name], which are top of DH and I’s list at the moment. I also love [name]Penelope[/name], [name]Persephone[/name] and other -ee ending names, as well as flowers like [name]Lilac[/name]. For boys’, I think [name]Archie[/name] is sweet, too.
Also, a lot of my favourites are very popular over here ([name]Alfie[/name] #6, [name]Theo[/name] #59, [name]Ruby[/name] #3), so do you think it matters how popular a name is if I love it?