Wonder Woman, and no wonder (pun not intended, at least not consciously): Her creator may have into bondage himself, but he definitely wrote it into the job description. The original Wonder Woman has all those abilities... unless she was tied up (specifically by a man), at which point she became de-powered. So you can expect incredible amounts of bondage throughout the first couple decades of her comic. It's such a common occurrence - to the point of once suggesting that the villains threaten to untie her - that the Superdickery website has an entire gallery devoted to it.
D-List Superheroine Empowered ends up like this so often that villains, innocent bystanders, and her own teammates regard her as a laughingstock and she occasionally points out the shortcomings of gag design to the mellowermooks. (Very heavy on the Fetish Fuel, this series. In fact, it's part of its origin.)
Disney Comics at one point has the Beagle Boys demonstrate their convenient king-size Coil O'Rope that they carry around simply to tie up Donald Duck or Scrooge or whoever is opposing them on their nefarious plans.
Superman'sLois Lane. Sure, it's been toned down since The '80s, but pre-Crisis, it happened all the time. As an example, check out the old Fleischer cartoons.
Captain Marvel is a well-known male example; Billy's always bound and gagged because he has to speak his magic word to become Captain Marvel. Naturally, this also happened to his sister, Mary Marvel, for the same reason. Also, their occasional teammate Kid Eternity, who has to speak his magic word to summon a historical or mythological hero.
The Adventures of Tintin - Tintin has been tied up on several occasions and, in one case, gagged, but has never been tied up and gagged at the same time. In fact this happens inevitably to somebody or other in just about every adventure (Captain Haddock, Professor Calculus, Nestor, and a slew of bad guys).
The first volume of Spider-Woman also features quite a bunch of tie up scenes of Jessica Drew, and at least there's one scene where she's also gagged.
Nyoka the Jungle Girl is filled with this. All over the place. Nyoka gets tied up by bad guys all the time, many different ways.
Justified for many of the Marvel Universe magic users (Doctor Strange, Scarlet Witch, Wiccan, etc.), who need the free use of their hands and voices to cast spells. Some of them have learned the basics of self defense (Strange is a full-fledged Kung-Fu Wizard) so they can protect themselves.
In Violine, Violine reads the mind of her rescuer and sees herself like this, clueing her in to his true intentions, and quickly fights him off, to the point of crashing his car. Later actually happens in Muller's dungeon, providing the image for Torture Cellar. Even her mouse gets tied up. Redder also ended up like this in a flashback.