Is it the case that you don't want an established top 20 name or are you not bothered?
Non floral, 'standard' names that are not top 20 level popular but are well known:
Amy, Abigail, April, Alexandra, Bethany, Beatrix, Catherine, Eloise, Francesca, Faith, Georgina, Hannah, Imogen, Jessica, Joanna, Julia, Katie, Kiera, Louisa, Lois, Lucia, Laura, Melissa, Miranda, Niamh, Natalie, Philippa, Phoebe, Rebecca, Rosanna, Robyn, Sadie, Stephanie, Sorrel, Stella, Verity, Vanessa, Zoe
More 'out there' names, some with a more nature-y/ vibe:
Amberley, Aphra, Ailsa, Bronte, Cherry, Calista, Calliope, Clover, Demelza, Danica, Enya, Eilidh, Fenella, Giselle, Gloria, Harmony, India, Jacinta, Jessamy, Journey, Keziah, Kendra, Lavender, Liara, Luana, Meredith, Melinda, Nerilly, Ondine, Ocean, Paloma, Pandora, Rowena, Rowan, River, Saffron, Skye, Star, Snow, Taryn, Tansy, Winter, Xanthe, Zeryn, Zenobia, Zipporah