I don't know how much all the civic flywheels weigh, but I've turned down 3 of them for my buddy's Del Sols and I THINK one from a Civic. No idea what year, model, or engine, but they start out weighing in around 17 lbs. I was able to take them down to 13.6 lbs....I could take off more, but we're gonna stay on the safe side until he tries one out. Then I found out that the flywheel from my B20A5(3rd gen lude) weighed 20.7 lbs....took that baby down to 16.5, so I was all like "WOOHOO, 'n shit." I HAVE been balancing them, btw. Closer than what Honda themselves do, actually. FYI, I think machine shops charge about $70 to get 'er done. *shrugs* I guess if anyone in the Minneapolis area wants their's done, I'd turn 'em down for about $40 a pop.
Hope this helps.....p.s. sorry if I broke any rules with the whole "advertisement" thing.