Alex, Jamie, Lauren, Lynn and Taylor are the only names on that list I've ever seen as unisex in practice rather than just on paper, and even then Alex and Jamie are usually nicknames for a longer more specifically gendered name (James, Alexandra and Alexander), Lauren and Lynn are usually spelled differently depending on the gender of the person (Lynn for males, Lyn for females, and I've only ever seen those as middle names; Lauren and Loren for females, Lorin or Lawrence for males [I am intimately familiar with this one since I'm female and my name IS Lauren, and I'm named a male family member named Lawrence]).

Taylor is pretty much the only name on that entire list I've seen in practice as truly unisex.