Musically, I originally come from the rock & metal side. And although electronic music is deeply connected to cyberpunk(& I grew to love it), especially its punkier side (I see Atari Teenage Riot ITT, Death Grips probably here too, Archive as well), I feel like the cyberpunk potential of rock music is often overlooked.
So, I'll post examples of rock-derived music that feel pretty cyber to me, mostly post-rock, shoegaze and noise rock, that, imo, embody very well the "low-life" side of cyberpunk premises.
Astrobrite - ultrablast (shoegaze)
https://www.youtube.com/watch?v=-RjgAXKjX9YBardo Pond - tommy gun angel (shoegaze)
https://www.youtube.com/watch?v=4HY1ywAZ_wEBig Black - cables (noise rock)
https://www.youtube.com/watch?v=k7QW_SIPmT4Boris - pink (noise rock/sludge/drone, Boris in general)
https://www.youtube.com/watch?v=Wj3EFzNwhxMBuckethead - welcome to bucketheadland
https://www.youtube.com/watch?v=6QSZyXQUMAkGodspeed you ! Black emperor - the dead flag blues (post rock)
https://www.youtube.com/watch?v=XVekJTmtwqMHaken - initiate (prog metal)
https://www.youtube.com/watch?v=-7pEXGCtnnkLes Thugs - waiting (punk, noise rock)
https://www.youtube.com/watch?v=2h8QidyJE1cMelt Banana - the hive (noise, punk rock)
https://www.youtube.com/watch?v=BcqC8LSoBwsMetal urbain - panik (experimental punk)
https://www.youtube.com/watch?v=mnFPXg7zSycNihternnes - in life and death (atmospheric black metal w/ cyb feels)
https://www.youtube.com/watch?v=ESL2A8xOKfw&list=PLF6jzFQKxIyQlvw3u5AWl6k9zr4tDPqVMNothing - get well (shoegaze)
https://www.youtube.com/watch?v=AsajdazBhKoPelican - australasia (post-metal)
https://www.youtube.com/watch?v=LarwAMC_lNESet fire to flames - sings reigns rebuilder (post rock)
https://www.youtube.com/watch?v=Mdpx3Ory1Ykthe jesus lizard - nub (noise rock)
https://www.youtube.com/watch?v=5i4-25wNp84unsane cracked up
https://www.youtube.com/watch?v=JlFILRJ6-ewVoices from deep below (shoegaze)
https://www.youtube.com/watch?v=lbxiERL0XekCould quote many more that fit my idea of music in a cyberpunk time, even though the music itself doesn't appear to be referencing/showing it, from Dinosaurjr to Fugazi, hell even sonic youth, but this sentence is prbbly not very clear so Ill stop there.