And then there’s Warhammer 40k, where (as I understand it) the hyperspace dimension was literally Hell.
Something similar in C J Cherryh’s “Chanur” series where various species have to be drugged to go through the space jump. If you aren’t drugged the experience sends you insane.
Of course there is a related trope:
That’s the premise of the movie Event Horizon, too, isn’t it?
Yes, the screenwriter, Philip Eisner, was a big Warhammer 40K player and acknowledged it as an influence.
In George R.R. Martin’s intriguing sf short story “The Stone City,” a foxlike alien race’s FTL drive ultimately drives them all crazy. It seems to be something about the drive itself, and not exposure to hyperspace, that does it, though.
Crazy like a foxlike?
Kinda. 
I’m for a couple of anthologies
They were in my HS library, so no later than 1978, and probably before then.
They were named something like Best (or great or similar) Ghost/Horror/maybe_something_else_that_I_can’t_remember Stories
I know that “The Bottle Imp” was in one of them as well as “Voice in the Night”
And I think there were relevant illustrations in the stories
Presumably you mean “The Bottle Imp” by Robert Lewis Stevenson and “The Voice in the Night” by William Hope Hodgson.
Yes, I should have included that info
Here are some places where the two stories appeared:
A large ship, very large I think, that travels through time linearly from the far past to the far future. I read it around 1993 - 1997, so was written before then. I thought it was Frederik Pohl but looking through his bibliography I don’t see it.
??
Sounds vaguely like a couple different stories Poul Anderson did (and one of which, I believe, referenced in a Futurama episode) - “Flight to Forever” in which the universe is cyclical so the travelers end up back where they started but also “Tau Zero” where the universe experiences a series of Big Bangs and Crunches but not really cyclical as in the other story.
It occurred to me after I asked that it may be Poul Anderson. Tau Zero doesn’t sound familiar, however. But I’m going to read it because it sounds like fun. And it may be it!
What do you mean by "travels through time linearly from the far past to the far future. "
Yeah, that’s the way most of us travel through time.
IIRC, Tau refers to the denominator of the formula for converting the energy needed to reach lightspeed.
https://enculturation.net/1_2/calvin/tau.htm
http://www.tauzero.com/Rob_Tow/tau_zero.html
Aha - found something about it. If the denominator gets to zero, the whole formula evaluates to infinity - infinite mass, zero time passing, or something. The point being it’s basically impossible to reach light speed.
I found the story quite depressing, actually.
So did I, but I didn’t want to prejudice anyone who hasn’t read it yet.