I've noticed that most ship archetypes have one or two crit effects that really mess them up. Depowered Armaments on long-rangers, Power Failure on big tanky ships, Targeter Disruption on black-crit fishers, etc.
I've noticed in my last couple of games of playing Dodonna/APTs, though, that if I'm attacking a carrier, there aren't really crits I'd rather throw down than the generic Structural Damage/Shield Failure/Projector Misaligned or the situational Capacitor Failure/Comm Noise.
So, what am I missing? What crit do you really hope that ISD-I/Indy carrier draws early off of your minefield/asteroid?