Dear young folks, rediscovering the power of personal MP3 players like iPod Classic. Know that retro gives you more. My personal favourite headphones for an iPod or similar device: AKG K92 (closed back) and, of course, the Koss Porta Pro (open back). Both still being made, both in the €50 sweet spot of really good sound at an affordable price. And as both are passive headphones, they last forever. No battery problems, no codec shit. Just sound. Good sound :) You're welcome.
@jwildeboer And if you put Rockbox on your player, you get a ton of extras, games, and open source goodness! I just re-purchased a compatible player for this exact purpose. https://www.rockbox.org
Rockbox - Free Music Player Firmware

@eivind My post was about headphones, not alternative operating systems for iPods. But I guess the "yes, but" crowd will never accept such minor things. Le sigh.