I feel really hipster saying this, but right now I'm into really off-beat songs that not a lot of people have heard of, or didn't really make it big in the mainstream. It's not because they're not mainstream - I like mainstream music as much as the next person, it's just that the way I usually stumble across these off-beat songs makes them mean more to me than most other songs.
I usually find songs through TV shows, and the way they're used in the context of the show makes me grow emotionally attached to the song as well. So that's how that works for me lol. My latest one is a really short song called "What A Pity" by Right Away, Great Captain. I found it on Grey's Anatomy haha.