I would consider myself to be very open minded with music. I really listen to most everything from classical to rock to jazz to blues to heavy metal and even gregorian chant. I'm currently into some of the following...
Icon for Hire
Stitched up Heart
Amaranthe
Cirque du Solei (most of their soundtracks are just awesome)
Pentatonix
Judith de los Santos
Lindsey Stirling
Taylor Davis
Lacuna Coil
Wynton Marsalis
Dizzy Gillespie
Herbie Hancock and the Tijuana Brass
Country and Rap are really the only music types I'm not into but I did like Linkin Park and Clawfinger. And Icon for Hire has some rap type of stuff so maybe metal rap...very iffy though.
As far as during a session. I'm usually down for just about anything. As long as it's in the background and doesn't overshadow conversation or any "in the moment" verbalization.
Would love some examples of the music you are referring to. Always love to check out potentially new stuff.