My girlfriend to alternative music. I need some help on this. I've tried once before at her request but it didn't work.

I started too far out. Stuff too crazy for someone like her to catch on with.
To begin with: She has no prior "alignment",if you will, toward alternative music or rock music, for that matter.
My music: I have basically an unlimited supply of SY, MBV, Pixies, Radiohead, YYYs, Beck, Hum, and pretty much anything in those veins.
I just want some opinions and suggestions.
Thanks in advance!