On the first four King's X albums ('88ish-'92ish), guitarist Ty Tabor used a big solid-state rig based around a Lab Series L5 amp. He used the amp's guts as a preamp, driving big PA power amp(s?) and various multiples of 4 x 12 cabinets. When I saw the band in '92, the cabs were Yamaha 4 x 12s, and the Lab Series combo had become a Lab Series chassis custom mounted in a rack. The fifth album, '94's "Dogman," brought with it a switch to Mesa Dual Rectifiers, or maybe Triaxis preamps, and Mesa power amps and cabinets too. Totally different distortion texture. Ty's a cool player either way, but I preferred the midrangier Lab Series-based tone to the spittier Mesa crunch, which it seemed like EVERYONE was using in the mid 90s. Here's a live TV show clip of them playing "It's Love" from the album "Faith Hope Love." These guys are normally some monster harmony singers and here they must have been having monitor issues, because the vocals are kind of sour...but you can hear the Lab Series rig's tone pretty well. He does a chordal outro thing that really displays that unique snarly distortion from 4:14 through the end of the clip. Bonus distorted "Norwegian Wood" snippet in there.
B.B. King has said that he used Lab Series L5s, or if he couldn't get those, Fender Twin Reverbs would do.
I have read that the wild-ass distortion Greg Ginn used in Black Flag came from a cranked solid-state Peavey PA head into some 4 x 12 cab. I've also read that at times Duke Robillard used a PA head as a guitar amp for his bluesy thing.
I have read that a lot of Albert King's playing was through some big Acoustic Control Corp. amp, not sure the model number, but I seem to remember a photo of it having two 15s and a big white plastic horn on the cab.
Here's some more recent guys--Red Fang--who all use late 70s Sunn solid-state heads...bass and guitar both:
I read an interview--somewhere--with Joe Walsh saying that what he actually was playing through on "Hotel California" was a Roland Cube amp--the first series of them, not the modeling ones, obviously--with a couple of pedals in front of it.
Jonny Greenwood from Radiohead used a Fender 85 solid-state combo, with a Marshall Shredmaster pedal in front of it, for the band's earlier stuff like "Pablo Honey."