tl;dr
psychophobia I love emo (Indian Summer, Hoover, Orchid, Saetia, City of Caterpillar, La Quiete, Ampere and much more)
anyway on post-rock, I wanted to make a thread about it a long time ago but I didn't know how many people were interested
Post-rock started as an umbrella term for bands which happened to use rock instrumentation for non-rock purposes: I like Bark Psychosis and Flying Saucer Attack from back then, but they're spacey droney shoegaze stuff that might not be for everyone. Slint started the guitar-based post-rock side, Spiderland is a must listen album. Looking back, Talk Talk were a new wave whose last two albums are direct ancestors of the movement. Spirit of Eden and Laughing Stock deserve to be checked out.
The pillars of post-rock now seem to be bands like Mogwai, Explosions in the Sky and Godspeed You! Black Emperor. From these, EITS are probably the easiest listen for anyone really and they're really good at what they do. Any album will do since they really sound all the same. Mogwai take Slint's sound, they're really noisy at times but also produce ridiculously beautiful songs like Ratts of the Capital. Young Team is an essential and probably their most consistent album, but I prefer to just listen to spare tracks from throughout their discography. GY!BE are on a league of their own really, some of the most magnificent music ever made. It might appear boring until you really look at it and notice the beauty of everything that goes in the making of every composition.
Then the namedropping begins. Do Make Say Think somehow manage to be original (yes this is really hard in this genre) and definitely should be checked out. Mono sound like they are between EITS and Godspeed but they're one of my favorite bands. Moonlight is an excellent song. A Silver Mt. Zion, Hrsta and the rest of the Constellation Records roster are mostly related to GY!BE (well they have a ton of members after all) but all have different takes on the sound. This Will Destroy You and Yndi Halda are top notch, EITS-like bands that also retain some originality. Now, Joy Wants Eternity are an almost blatant ripoff but they have something that makes me like them.
The genre now has a lot of bands that sound nothing like what the post-rock definition was, they're mostly just instrumental rock bands. Not to say that is wrong. Laura and God is an Astronaut make short, easy to take in songs that sound really nice. The American Dollar follow a similar vein. Foxhole and We vs Death use brass (!) if you're into that. Caspian's first EP will rock your face off, their full length not that much. El Ten Eleven is a guitar/drums duo that pretty much kicks ass. Maserati have been around for a while but their latest album (the only one I checked out) was a great listen. I wouldn't call 65daysofstatic post-rock, a lot of their songs actually sound much more like a hardcore band to me (well, minus the vocals and plus electronics), but they are great and also very original.
On the metal side of things there's Pelican in the forefront, followed by Tides and the much less heavy Red Sparowes. Gregor Samsa has shoegaze elements in their sound and are definitely worth listening to. Slow, moody music. New album coming out soon!
Well that's all I guess, this post is really large lol. Also I realize I've mentioned a lot of bands already listed in this thread but I guess this could also help other users interested in the genre.