truthfully, i think we are at a turning point in naming history wherein more and more names will become gender neutral, and be used evenly for boys and girls. arlo, harlow, and marlowe are exploding in popularity on both sides, names like finn & wilder, nature names— sage, sky & juniper most notably. nickname names like bowie, iggy, ozzy and indy. mini multicultural names— koa, noa, etc. word names like brave & merit. even on nameberry, we are leaning so much more towards gender neutral names than i have ever seen before, and i think that says a lot about where we are as a world culture — which is so neat :,)
so to answer your question, yes. there are many “truly unisex” names, and i think they’ll continue to rise in popularity until they become a well assimilated part of “normal.”
today, honestly riley, spellings et al. is the truest gender neutral name. i have seen 15 to 20 students named riley/ryley/ryleigh/rylie and i’d say there’s a pretty even b/g/nb split.