I listen to a lot of different genres, and I can say that digitally produced, mastered, and distributed IDM are going to give you clean harmonics to work with. If you must use physical media, get some krautrock like Harmonia or something.
Angel was recorded when electronic music production still involved racks, and patching things in the analog domain for real. It was very possible to overdrive something. Hell, even in all digital, if you master without truly full range equipment, you may find stuff down there you weren't expecting, such as I learned when I played one song I wrote on the PC using nearfield monitors to put it together. They just could not dip low enough, and on my main system you could hear a bass crunch. MY headphones hobby began as a way for me to better produce music, first v700DJs and a set of HD555s to cover opposing ends of the spectrum of sound. I largly forgot about headphone listening beyond something for the office until I had something happen that wasn't going to give me the time to sit at the console and listen like I enjoyed doing. I managed to pit the v700s together with zip ties and glue, but they were a lost cause, and the senns, they were beginning to have the pads wear out. I bought a set of, well, most of the better cans that guitar center sold. I bought from craigslist, and hit up Frys for a couple pairs they carry from sony and denon.
This site will get you. I am enjoying the freedom within the constraints of headphones, and also the sound that would have cost me many times more than I spent to get close with speakers in terms of detail and enjoyment. I moved a lot of my source components to the back room where I have my headphone stuff, because I see no reason for my good source gear should colllect dust. I use a laptop to go bit-perfect ASIO out to a cakewalk pro for an interface, then a monarchy DIP to control jitter since I use a NOS DAC. and access all my material in here over remote network.
I never thought of it, but angel would be a great measure of a system's bass performance, as well as how it can handle all that cone movement but still produce her voice without distortion. (I will play teardrop just cause I love the song).
I use Billy Cobham's album Spectrum to test the quality of HF response. There is one track, the name I forget, but he hits a certain cymbol type hard, and only the best speakers and headphones can reproduce it without it grating the ears. If it sounds natural and non-fatiguing while still keeping to the same effect, then I know the HF is not going to rip my ears to shreds, and generally be what I want in the HF band, a natural non-fatiguing sound. Now who has the mids, we have the bass, the HF now we need a good mids track/album.