I like [name_f]Liliana[/name_f] and [name_f]Lola[/name_f], and [name_f]Luna[/name_f] ([name_f]Luna[/name_f]-[name_f]Fae[/name_f]) and [name_f]Lilith[/name_f]. Also:
I also love [name_f]Lyra[/name_f], [name_f]Lavinia[/name_f], [name_f]Lucia[/name_f], [name_f]Lilith[/name_f], and [name_f]Lydia[/name_f], which have already been listed.
My own name is [name_f]Lauren[/name_f].
Others I can think of:
[name_u]Leslie[/name_u]
[name_f]Lisabet[/name_f]/Lizabet
[name_f]Lorraine[/name_f]
[name_f]Lys[/name_f]/[name_f]Lyssa[/name_f]
[name_f]Leeanne[/name_f]
[name_f]Leanor[/name_f]
[name_u]Lou[/name_u]/[name_f]Louise[/name_f]/[name_f]Louisa[/name_f]
[name_u]Lindsay[/name_u]/[name_u]Lindsey[/name_u]
[name_f]Lacy[/name_f]/[name_f]Lacey[/name_f]
[name_f]Larissa[/name_f]
I love [name_f]Lily[/name_f], [name_f]Lyla[/name_f], [name_f]Leila[/name_f], [name_f]Lillian[/name_f]/[name_f]Lilliana[/name_f], [name_f]Luisa[/name_f], [name_f]Liesel[/name_f], [name_f]Libby[/name_f] (as a nn), [name_f]Lavender[/name_f], [name_f]Lilac[/name_f], [name_f]Lyra[/name_f]/[name_u]Lyric[/name_u], [name_f]Lucia[/name_f], [name_f]Liv[/name_f]. [name_f]Leia[/name_f] is a gp of mine;)
This is my name, and when I was younger I thought it was too boring. But now I think it is perfect - familiar but not commonly used, with a long and classical history, and translates easily into many languages. I prefer the simple [name_f]Laura[/name_f] to any of the offshoots, also. And like another poster, [name_f]Liv[/name_f] is also a favorite.
From your list I like:
[name_f]Lila[/name_f]
[name_f]Laila[/name_f]
[name_f]Lily[/name_f]
[name_f]Liliana[/name_f]
[name_f]Lola[/name_f]
Other L names I like:
[name_f]Linnea[/name_f]
[name_f]Lavender[/name_f]
[name_f]Lina[/name_f]
[name_f]Lucy[/name_f]
[name_f]Lacey[/name_f]
[name_u]Lindsey[/name_u]
[name_f]Luna[/name_f]