Mogwai is an obvious recommend based off of that, and their new album is coming out soon: you can hear one track from it here, but it's a little more electronic than their typical.

Kashiwa Daisuke is pretty good, though about half the time it plays I can't be bothered and skip it and the other half I love it. I think Stella is their best.

God is an Astronaut has some good songs somewhat similar to some Explosions in the Sky as it's more electronic than most post-rock. All is Violent, All is Bright is a highly approachable album of theirs. These guys got me into post rock but I don't listen to them that much these days. Maybe I should.

And Mon has a number of good songs like this one.

And Sigur Ros has some great ones, like Hopipolla and Glosoli. Really a charming band. Too bad their original music video for Hopipolla is no longer on youtube apparently as it was rather endearing.

Some other bands that I haven't gotten into but that a friend keeps recommending are 65daysofstatic and Caspian. Sweek might also be worth a try.

Well, that just about exhausts the sum total of my post-rock knowledge. I think it was your recommendation of World's End Girlfriend got me onto them, so thanks! Their best songs are among my absolute favorites now.