On-ear headphones are preferable for people, who find in-ear headphones uncomfortable. On-ear headphones lighten the load. However, on-ear headphones are not sweat-proof.

The best on-ear headphone: Bose SoundTrue (overall best sound)

The second best on-ear headphone: Samsung Level On (good for pop, hip hop, and EDM - Electronic Dance Music)

The best high end on-ear headphone: KEF M500 (costly, good for all kinds of music)

The best affordable on-ear headphone: Beyerdynamic DTX 350p (lightweight and comfortable, best for rock or pop)

The best ultra-affordable on-ear headphone: Koss SportaPro (ded=cent sound quality, 80s kind of style)

The best on-ear headphone for rough use: UrbanEars Plattan ADV (good for partying, can withstand twisting / twistable headband )