There are actually quite a few serious incidents involving SQ744's if you care to research the literature out there....they quite like stalling their 747's for instance...BUT I suspect this is similar with other airlines.
One such incident involved a BA744, which made a very hard landing in Lilongwe, Malawi (not sure they fly out there anymore) in c.1995. The flight was inbound from Gaborone I believe, and was making an approach during a severe thunderstorm (already we see SQ isn't the only airline to fly in pretty marginal conditions...).
Anyway the BA744 crew elected to go-around after making a mess of the first touch-down (a/c bounced back into the air after initial contact with R/W). The crew managed to put the a/c on the ground at the 2nd attempt, but again, nearly made a hash of it due to the conditions.
External checks on the ground at Lilongwe revealed nothing, so a/c flown back to London...when the BA engineering people gave it an inspection there, they were horrified to say the very least. The a/c had been so badly damaged from the hard landings that it should never have left Lilongwe...lucky the 744 came back in one piece...there could have been a terrible trajedy involving BA, needless to say.
So there we are, just though I'd let you in on some exciting revelations about non-SQ 744 incidents. Boeing produce an accident/incident report for each model of a/c, and BA appear quite a few times under the 744 report heading.
Variety is the spice of life