The most unusual (quite likely actually unique) name I've ever come across is Chymme. Google brings up only her and doesn't recognise it as a name.
These are all names that were used just 3 times in 2022. Names used once or twice aren't listed. I've tried to avoid ones that are probably exclusively from a non European culture and ones that are rarer spellings of more common names.
Girls
Abrielle,Aderyn,Adria, Aldana, Annemarie, Aphrodite, Arlet, Arrow, Atika, Atlantis, Balsam, Beauty, Bellamy, Bettina, Biba, Britney
Cassiopeia, Catriona, Cerise, Chance, Cheryl, Clementina, Crimson, Cyrilla, Damara, Devi, Devin, Donna, Dovie
Echo, Edeline, Egypt, Elari, Eliette, Elita, Elvana, Elvina, Ettalie, Eugenia
Fauna, Fernanda, Fiora, Florentina
Geneva, Georgette, Grey, Gwenna, Gypsy
Haze, Henriette, Hepzibah, Hestia, Holland, Holy
Infinity, Isabeau, Isioma
Jeanie, Jillian, Josephina, Juvana
Kale, Kalisha, Kamala, Katherina, Kika, Kimora
Legacy, Lenka, Liesel, Lorenna, Lotta, Lotus, Lourdes
Madonna, Majesty,Maverick, Memphis, Merry, Mildred, Monet, Monique, Myrtle
Netta, Nevada, Nile, Norina, Novalie, Novaya, Novella
Ovelia, Oviya
Pagan, Paradise, Pebbles, Pella, Perry, Pietra, Poet, Prunella, Psalm
Quorra
Raizel, Romana, Rossa, Rua
Saga,Salem,Sandy,Saxon, Seven, Shine, Skylette, Snow, Soul, Starlet, Success
Tammy, Tate, Tatum, Tavia, Tisha, Tokyo, Tuba
Unique, Uzma
Valley, Vanaya, Vania, Vasilisa, Victoire, Viona, Viva
Waverley, Wynn
Zella, Zen, Zeta, Zita
Boys
Achille, Acre, Adrin, Adwin, Ainsley, Alias, Alric, Alvis, Artis, Astor, Athen, Aurion
Bane, Banx, Baron, Bethel, Bladen, Bliss, Bolan, Boyd, Bran, Brecon, Breeze
Carlton,Case,Chandler,Charlton, Ciro,Claude,Clifford, Cloud,Colter,Cyprian, Cub
Darby, Daris, Darrell, Dastan, Davian, Dempsey, Devante, Diamond, Dino
Edinson, Edric, Elba, Eloy, Erling, Esmond, Excel
Fabrice, Farron, Fergal, Flavian
Gaspar, Gerrard, Giannis
Hadrian, Hamilton, Hanley, Harrington, Henrick, Herb, Hercules, Hilton, Hollis
Indra, Ionel
Jacko, Jericho, Joules, Jove, Judson
Keagan, Kennie, Keo, Knight, Kojo
Lanson, Laris, Larson, Ledger, Leeland, Legacy, Linus, London, Luxon, Lyric
Major, Malone, Marcon, Mars, Maynard, Merrick, Milton, Moby, Mordecai
Nash, Nino, Nirvana, Noman, Nori, Numan
Obsidian, Octavius, Olsen, Oxley
Paisley, Payton, Peace
Quillon, Quinnley
Rigby, Ripley, Rocket, Rogue, Romano, Rook, Rosen, Rowley, Ryland
Sabre, Sampson, Selby, Serge, Shem, Silver, Solo, Star, Sutton
Thane, Thatcher, Theodoro, Thorn, Torrin, Torsten, Trace, Tremaine, Turner
Usher
Ward, Waylon, Wealth, Wilde
Zan, Zed, Zeid, Zoran