I'm new to the genre. What are some good bands? I basically just know of Mogwai and Godspeed You! Black Emperor.

You should try Mono. Also Peace Burial at Sea, they are awesome, although not very popular.

65daysofstatic is wonderful

>>3
Second.

My Bloody Valentine is neither of those genres, but still similar and Loveless is a God Tier album.

Lights Out Asia

　　　 , ―――､
　 　　　　　　　 ／　＿,　､＿＼
　　　　　　　　/　　くoゝ　くoゝ ヽ　Move along, move along! Walkman-man gets 2nd!
　　　　　　　　|　　　　　　」　　　|　　　
　　　　　　　　.＼　　　　σ　 ／　　　　>>1 Walkman's the best, eh?　　
　　　　　　　　／　　　　　　 .| ＼　　　 >>3 Throw the iPod away!
　　　　　　 ／　,ｲ　　　　　　.!＼ ＼　　>>4 You can watch videos too!
　　　　　／　／ |　　　　　　 |　 ＼ ＼ >>5 You can put in photos!
　　　　 L_／　　.|　　　　　　 |　　 .＼_」>>6 You can even watch 1seg television!
　　　　　　　　　 .|　　　　　　|　　　　　 >>7 iTunes(LOL)
　　　　　　　　　　＼　 ＼ ／　　　　　 >>8 Let's walk
　　　　　　　　　　／＼　 ＼　　　　　　>>9 Lol, what? You're still using a CDWalkman？
　　　　　　　　 ／　 ／＼　 ＼ walk　>>10-1000 And you lot should work
　　　　　　　　|＿／　　　＼＿| 　walk

Giant Squid. One of my favorite bands ever.

Hacia dos veranos, Argentinian band.
Maybe, you can try with some Icelandic guys, like Sigur Ros, for example.

Don't forget the founders.
Check out Talk Talk, Slint, Tortoise and Cerberus Shoal.
Only second-wave band that really compares to their genius is GY!BE