My favorite non-Fender guitar would have to be a 1977 Ibanez Silver Series Strat copy that I bought in the mid-80's for $25.
A buddy of mine wanted money for a date and sold me that guitar. It wasn't very impressive at all. It just looked like a copy of an Olympic white Strat, (that had turned kind of toenail yellow by that time), with cheap hardware and lame electronics.
I bought new tuning machines for it, an original Floyd Rose locking trem, Dimarzio Pro 151 PAF, and two DP FS-1 pups, and a pick guard from WD, and some good pots and a switch and had it all installed after I modified the body a bit.
I filed the upper and lower bouts to be a bit more pointy, sanded them smooth, then painted them white with black tips. Below that, I covered the body with black fur, so now, the whole guitar has a kind of animalistic quality to it. After that, I had all the hardware and electronics installed.
What I ended up with was a guitar that I named the "Beast" and it has lived up to that name in spades! It's frightfully easy to play and get wild sounds out of it. Then I found out a couple of years later, that Dick Dale named his guitar the "Beast" so I had to re-name mine "Son-of-a-Beast."
31 years later, it's still roaring like the wild animal it is.
Harley