They're not on the website, but I have a ton of Gap smooth sting thongs and g-strings. They work great and come in great skin-tone colors. These look like what I have, but it's a panty.
Cosabelle Soire thongs... these are actually comfortable (for a thong) and I've never had problems with lines.
For absolutely no VPL, I prefer g-strings over thongs. Because there's only a string, there's less to be visible. Vickie's has tons of 'V-strings' that I love because they are sexy and super comfy. I like the Very Sexy styles in seamless satin and lace. I have few of the Second Skin Satin ones and they don't feel as nice.