There is no upgrade you can make from the HD560s that's like going to an OLED panel or a 144hz monitor. 60hz is nowhere near the motion resolution of the human eye, and not even OLED is anywhere near the dynamic range of the eye (not sure about color gamut and stuff like that). With headphones, anything decent can reproduce the full range of frequencies you can hear and more dynamic range than you'd want to listen to. Different headphones may have a different tonal balance that you'd find more appealing, but there's just no room for some huge leap in fidelity.