Where to buy pin headers with non-standard pitch (1.5 mm)?
Your best bet with odd connectors like that is to check the catalogs of the big connector manufacturers directly for the part you need and try to find a vendor from there. I couldn't find anything at all from Molex (they had 1.5mm pitch, but only up to 12 positions). However, it looks like Tyco Connectivity has something you can possibly use. 

Those are 1.5mm pitch, 17-position receptacles, but they're sized for 24-28 AWG wires so you'll want to double check the dimensions on the socket vs your LCD pins. If I'm reading their drawings correctly, the sockets are sized so that you can fit wires in them without stripping all of the insulation, so your 0.5 x 0.6 mm pins should be OK in terms of fitting in. What I would worry about is that the specced wire sans insulation is a bit smaller than your pins, which could cause problems with making a good connection. You'll probably just have to get one and test it out.