Weight Forward Furled Line -
Triangle Tapered Furled Line -
Tenkara Level Line -
I personally fish a furled tenkara line. Partially because they suit my style of fishing, partial because I make them. I have a ready made excuse to give my long suffering wife whenever the mood to fish strikes - "Sweetie, I need to do some field testing."
The best source for knowledge and wisdom I know for single strand Tenkara lines is Chris Stewart. He has an excellent site, full of information - http://www.tenkarabum.com/tenkara-line.html