I was first introduced to this genre of music on WKNC 88.1 FM here in Raleigh on the Post Rock Block (Sundays 6-8pm). The things I notice and am attracted to in the genre are the long tracks with a strong emphasis on melodies with tension, release and progression. It doesn't hurt that some of the bands that get tagged with this label also incorporate a lot of electronic instrumentation (Metavari). Also, these bands do not use any vocals which is appealing when you just want to get lost in the melody and not distracted by an over powerful singer.
If you're a fan of Progressive house or trance and also a fan of rock music like me you may find that this is an incredible combination for your tastes. Definitely check out Metavari if the last sentence applied to you.
I distinctly remember being a passenger in my roommate's car driving by Snoopy's on Hillsborough street turning left onto Gorman and hearing "Railroad Cancelation" by Don Caballero. Since then I've been tuning in most Sunday's. Here are some videos from some of the tracks I'm currently enjoying..