Hi!
Afaik this is the best forum to ask about really unknown guitars and I wouldn't do it if I hadn't already tried my best.
These are pictures of 2 models:
And here is a link to an auction of a strat:
I dont know if the body is the original one. Looks too new to me and the tremolo is no way MiJ. Rather Chinese.
My thoughts so far: Guitars with this logo are probably not even japanese cause neither the Les Pauls nor the Strats have a "Made in Japan" engraving. This is more typical for Korean guitars.
The toggle position is wrong and the body horn looks different than the japanese builds. Reminds me of the Korean Hondo II and Kay LPs. Also Hondo is one of the few who used open humbucker pickups (Dimarzios) but as those are not my guitars I cant look it up...
Luxor and other Matsumoko builds had mostly big Headstocks. And even if not, the shape of the back of the neck looks always quite different.
I'm not even sure if its really an L or an S or an Y in the logo but any help is appreciated, since I'm trying to identify this manufacturer for a long time now.
Thank you for your time!