Like many here, I prefer silence while I'm doing something that actually requires concentration. Reading, analysis, etc. I'll occasionally put on some Coltrane or Bach to drown out extraneous noise if there's something distracting going on nearby. Instrumental music doesn't seem to prevent me from focusing. I admit to avoiding vocal music when I really need to bear down. How others can puzzle things out with heavily-compressed, often-distorted talk radio going on in the background is baffling to me.
For more physical and less cerebral shop work, repetitive things like hammer and nails, stripping wire, cleanup, tearing down boxes... well, one has to stay motivated and on task. There are many ways to skin a cat.