British children's comic The Dandy features one issue in which giant cowboy Desperate Dan has to get ready for a date. First he shaves, by dangling over a volcano to burn off the stubble. Then he gets a haircut by finding an Indian with a sharp-looking tomahawk, punching him in the face, and ducking at just the right moment...
Usagi Yojimbo: While fighting Noriko, her half-sister, Tomoe gets a chunk of her hair sliced off as she ducks under a sword swing. Tomoe says nothing, but Noriko remarks "Bah! Your hair was too long, anyway."
While he doesn't make a big deal of it, Katsuichi-sensei loses a chunk of hair during his duel with Koji.
Nightwing's first issue includes him getting a close call haircut. Justified due to him sporting a very long ponytail (it was the 90s).