Not all unisex names are last names. Some are just normal first names and some are word names. Those are the ones I tend to prefer.
I think it's more common for people to use "gendered" names but decouple them from their gendered associations. I think this is becoming more commonly accepted as more and more nonbinary people are comfortable using names that people think of as gendered. (Like, nowadays when someone comes out as nonbinary, they don't necessarily feel pressured to change their name to a unisex name. So other people get more and more used to the idea that a "gendered name" doesn't always indicate the gender of the bearer. That makes all names more flexible for everyone even if the names are still associated with certain genders.)
Basically I just think that the trend is toward more names becoming unisex (or at least accepted for multiple genders) rather than people choosing more names that are ALREADY considered unisex.
I like these as unisex:
Morgan,
Rowan,
River,
Briar, Cypress,
Indigo,
Lan,
Andrea,
Francis,
Shiloh,
Sam,
Aeron,
Bryn,
Eirian,
Imani,
Loren,
Nikora,
Nikita,
Raven,
Lark,
Wren,
Sparrow,
Sage,
Vanja,
Julian,
Cameron,
Kaoru,
Linden,
Matija,
Sasha,
Sequoia,
Luca,
Chandra,
Robin,
Elvan,
Carmine,
Camille