TNT and Millions Now Living Will Never Die by Tortoise, sure, but they're nothing like any of what the OP mentioned, aside from technically being the same genre as Explosions in the Sky.
Try Mogwai's "Happy Songs for Happy People" and then "Young Team" (Happy Songs is more accessible, Young Team requires you listen to the whole album from start to finish or I guarantee it won't make much sense to you).
Additionally, you'll probably enjoy Interpol's "Turn on the Bright Lights".
I mean there are a billion things I could mention but those are very easy to like and a good starting point for future searching.