I have a pair of kind of cheap pioneer headphones that fold flat for traveling, I love them cause the sound is fine, they aren't overly expensive and they are super easy to stuff into my backpack when I'm traveling, I have kind of an aversion to large noise cancelling "frames" that take up a bunch of space in my bag and I don't like ear bud type stuff, any suggestions ?
Bose QuietComfort 35 II are pricey, but they fold flat and fit nicely in the case that's included. I've had them about a month and am happy with the sound quality and noise cancelling.