There's no mention of anyone else being held back a year.
As far as I'm aware, no-one else is actually forced to retake an entire year. Failing a year is threatened as a consequence for failing exams. Even in year one, the threat of being held back is there.
"Anyway, what are you revising for? You already know it all."
"What am I revising for? Are you mad? You realise we need to pass these exams to get into second year? They're very important, I should have started studying a month ago, I don't know what's got into me..."
(Philosopher's Stone, Chapter 14, Norbert the Norwegian Ridgeback).
However, the standard of the exams seems to be sufficiently low that even the real dunces are able to scrape through.
Harry had almost forgotten that the exam results were still to come, but come they did. To their great surprise, both he and Ron passed with good marks; Hermione, of course, came top of the year. Even Neville scraped through, his good Herbology Mark making up for his abysmal Potions one. They had hoped that Goyle, who was almost as stupid as he was mean, might be thrown out, but he had passed, too. It was a shame, but as Ron said, you couldn't have everything in life.
(Philosopher's Stone, Chapter 17, The Man With Two Faces).
This would suggest that Flint really was on another level of poor performance since even Crabbe and Goyle never missed a year.
The passage also hints that really terrible students may be forced to leave Hogwarts altogether. However, we never see this happen so this may just be speculation on the trio's part.
Crabbe and Goyle aren't held back a year but, as amflare says, they do have to resit their DADA OWLs.
"If your friends Crabbe and Goyle intend to pass their Defence Against the Dark Arts O.W.L. this time around, they will need to work a little harder than they are doing at pres-"
(Half-Blood Prince, Chapter 15, The Unbreakable Vow).
This shows that, in later years, students can resit individual subjects if they choose without necessarily having to redo the entire year. As far as I can tell, even Crabbe and Goyle avoided that fate.