I have a few friends whose partners cannot stand their taste in music. Which is not always the ultimate scenario if you are a music nerd who needs your daily fix. For me, it works out fine. We both dig psych, kraut, soul, country, folk, punk, post punk, synth & minimal wave and lots of classic 60s bands like The Rolling Stones, The Who and The Kinks.
However, my girlfriend can't cope with genres like free jazz, hardcore (there are some exceptions, she loves Chain Whip for instance), noise/industrial and music in general that can be categorised as experimental. So I mostly listen to stuff like that when she is away from home.