By this I mean the names that aren’t suggested with frequency here, names that you don’t see very often here!
(So none of the favourites- [name]Alice[/name] and [name]Theodore[/name] are no-nos - see this thread for other names you shouldn’t suggest 
Nameberry - Welcome to the Nameberry Forums )
So come on, suggest your favourite un-Nameberry picks. 
I don’t know how un-nameberry they are (I tend to really love the commonly suggested names), but names that I don’t see as often that I love:
[name]Cedric[/name], [name]Fabian[/name], [name]Alfred[/name], [name]Malcolm[/name], [name]Phineas[/name], [name]Lawrence[/name]
[name]Artemis[/name], [name]Odette[/name], [name]Winifred[/name], [name]Isabeau[/name], [name]Ithaca[/name], [name]Cynthia[/name], [name]Felicia[/name], [name]Demeter[/name], [name]Waverly[/name], [name]Edeline[/name]
Maybe some of those are more nameberry normal than I think they are, but I don’t see them suggested hardly ever. If anyone does, I’d love to know!
[name]Dawson[/name]
[name]Luther[/name]
[name]Serenity[/name]
[name]Timothy[/name]
[name]Ian[/name]
[name]Tatum[/name]
[name]Darwin[/name]
[name]Maximus[/name]
[name]Seth[/name]
[name]Cassandra[/name]
[name]Arya[/name]/[name]Aria[/name]
[name]Caitlin[/name]
For girls, I think of the mid-century names that aren’t quite cool yet but I like anyway: [name]Loretta[/name], [name]Marian[/name], [name]Teresa[/name], [name]Helen[/name]
For boys, there are some of the same like [name]Howard[/name] and [name]Wilbur[/name]. I also like some that are probably considered too boring to be suggested here often: [name]Paul[/name], [name]Mark[/name], [name]Peter[/name] and [name]Joseph[/name]
[name]Lakshmi[/name]
Karuna
[name]Gita[/name]
[name]Bevin[/name]
Elsabet
Sossina
Aiyda
[name]George[/name]
[name]Ignatius[/name]
[name]Kaya[/name]
Othella
[name]Herschel[/name]
[name]Otis[/name]
[name]Leandre[/name]
[name]Persephone[/name]
[name]Verity[/name]
[name]Avalon[/name]
[name]Mabel[/name]
[name]Ariadne[/name]
[name]Isolde[/name]
Roseliese
[name]Arabella[/name]
[name]Prudence[/name]
[name]Tamsin[/name]
Miette
[name]Viola[/name]
[name]Orinthia[/name]
[name]Twyla[/name]
[name]Blythe[/name]
[name]Etta[/name]
[name]Effie[/name]
[name]Lyra[/name]
[name]Bronte[/name]
[name]Aurelia[/name]
[name]Sariah[/name]
Lienne
[name]Lindie[/name]
[name]Evia[/name]
[name]Edra[/name]
[name]Clarity[/name]
Suthen
[name]Mackenzie[/name]
[name]Monroe[/name]
[name]Malcolm[/name]
[name]Edgar[/name]
[name]Gerard[/name]
[name]Horatio[/name]
[name]Calvin[/name]
[name]Basil[/name]
[name]Cedric[/name]
[name]Ephraim[/name]
[name]Gideon[/name]
[name]Rafe[/name]
[name]Duncan[/name]
[name]Eamon[/name]
[name]Leander[/name]
[name]Leif[/name]
[name]Morgan[/name]
[name]Gilbert[/name]
[name]Rune[/name]
[name]Thaddeus[/name]
[name]Sullivan[/name]
[name]Sinclair[/name]
[name]Silas[/name]
[name]Gale[/name]
[name]Caswell[/name]
[name]Lindsey[/name]
[name]Orsino[/name]
[name]Whitney[/name]
[name]Marius[/name]
[name]Hiram[/name]
[name]Rufus[/name]
[name]Bernard[/name]
[name]Cormac[/name]
[name]Ludovic[/name]
[name]Roscoe[/name]
Popular names (often of people I love): [name]Jennifer[/name], [name]Amy[/name], [name]Rachel[/name], [name]Stephanie[/name], [name]Lauren[/name], [name]Molly[/name], [name]Maria[/name], [name]Sarah[/name], [name]Emily[/name], [name]Olivia[/name], [name]Meghan[/name], [name]Sophia[/name], [name]Emma[/name], [name]Melissa[/name], [name]Daniel[/name], [name]Michael[/name], [name]Caden[/name] (sentiment only), [name]John[/name], [name]Louis[/name], [name]Carl[/name], [name]Mark[/name], [name]Christopher[/name], [name]Kevin[/name], [name]Lucas[/name], [name]Derek[/name], [name]Alexander[/name]/ra, [name]Jessica[/name],
Dated names (Also a few loved ones):[name]Pamela[/name], [name]Melinda[/name], [name]Della[/name], [name]Doris[/name], [name]Clarice[/name], [name]Eunice[/name], [name]Eugenie[/name], [name]Vanessa[/name], [name]Melanie[/name], [name]Belinda[/name], [name]Tina[/name], [name]Pollyanna[/name], [name]Perry[/name], [name]Boris[/name], [name]Joanne[/name], [name]Dorothy[/name], [name]Deborah[/name], [name]Beverly[/name], [name]Wilma[/name], [name]Colleen[/name], [name]Mary[/name], [name]Patricia[/name], [name]Kerry[/name], [name]Chad[/name], [name]Bryan[/name], [name]Gilbert[/name], [name]Larry[/name], [name]Frances[/name], [name]Kathleen[/name], [name]Phyllis[/name], [name]Allison[/name], [name]Brooke[/name], [name]Lisa[/name], [name]Michelle[/name]
[name]Oprah[/name] I like this one, no else does.
"Normal’ (These get some mention): [name]Matthew[/name], [name]William[/name], [name]Gary[/name], [name]Meg[/name], [name]Stuart[/name], [name]Robert[/name], [name]Phillip[/name], [name]Morgan[/name], [name]Katherine[/name] nn [name]Kate[/name], [name]Nicholas[/name] nn [name]Nick[/name], [name]Anna[/name], [name]Lily[/name], [name]Hannah[/name], [name]Deanna[/name], [name]Meredith[/name], [name]Karen[/name], [name]Erica[/name]
Ok that’s a long list, but you get the idea. In general I would say any name that’s not out there at all and is one that you probably know lots of people named is not a nameberry name.
Although I [name]ADORE[/name] traditional names (which seem to be very ‘nameberry’) my husband however is terribly opposed, so we ended up with a more nontraditional, borderline ‘weird’ names lol Naming our 2 boys Lyrik and Ledger. Other choices (for boy or girl) could be [name]Onyx[/name], [name]Indiana[/name], [name]Elodie[/name], [name]Briony[/name], [name]Phoenix[/name], Amalthia… TOTALLY second the [name]Odette[/name] suggestion. I [name]ADORE[/name] that name! I’m partial to [name]Penelope[/name] and [name]Persephone[/name] as well but [name]Pen[/name] is REALLY popular and [name]Persephone[/name] is really ‘out there’ for my family lol Either way, lots of really unique suggestions on here!
Some of these probably get mentioned more than I think they do, but I think this is a fairly good representation of names that I love and would unhesitatingly recommend that most others…wouldn’t:
[name]Nona[/name] (my first post here was actually about this name; it was very…polarizing, I suppose, would be a kind way to put it)
[name]Cyra[/name]
[name]Junia[/name]
[name]Thora[/name]
[name]Hypatia[/name]
[name]Dorothea[/name]
[name]Nadine[/name]
[name]Tullia[/name]
[name]Leda[/name]
[name]Solveig[/name]
[name]Zelda[/name]
[name]Alida[/name]
Cosmina
[name]Kinga[/name]
[name]Iphigenia[/name]
[name]Tacita[/name]
[name]Perpetua[/name]
[name]Fortunata[/name]
[name]Zola[/name]
Svea
Eudoxia
[name]Roald[/name]
Tycho
[name]Claude[/name]
[name]Oswin[/name]
[name]Leif[/name]
[name]Alban[/name]
[name]Galen[/name]
[name]Wynn[/name]
[name]Geoffrey[/name]
[name]Tavish[/name]
[name]Panos[/name]
[name]Cyprian[/name]
[name]Faolan[/name]
Gratian
[name]Theron[/name]
Cassander
[name]Idris[/name]
[name]Tobin[/name]
[name]Fox[/name]
Conleth
Ohh, I have many, lol.
[name]Alexandrie[/name], [name]Vittoria[/name], [name]London[/name], [name]Alexia[/name], Briesen, [name]Antoinette[/name], [name]Odette[/name], [name]Chloe[/name], [name]Jolene[/name], [name]Esmeralda[/name], [name]Adria[/name], Dailia, [name]Ivara[/name], [name]Averie[/name], [name]Arista[/name], [name]Electra[/name], [name]Elettra[/name], [name]Ashley[/name], [name]Chelsey[/name], [name]Yasmin[/name], [name]Alaya[/name], [name]Blair[/name], [name]Ivana[/name], [name]Holly[/name], [name]Nichole[/name], [name]Taylor[/name] are just some that I can recall for girls.
For boys:
[name]Denzel[/name], [name]Alaric[/name], [name]Liam[/name], [name]Eric[/name], [name]Eden[/name], [name]Eli[/name], [name]Greyson[/name], [name]Reese[/name], [name]Angelo[/name], [name]Dylan[/name], [name]Ryan[/name].
I’ll post more as I can think of them.