aLIEz is the soundtrack used in the ending theme for Episodes 4, 7, 8, 10, and 11 of the ALDNOAH.ZERO Anime series. It is composed by Hiroyuki Sawano and performed by Mizuki, under the name SawanoHiroyuki[nZk]:mizuki.

Lyrics:
kimetsuke bakari unubore wo kita chiipu na hokori de oto aragetemo
tana ni kakushita aware na haji ni nureta kagami no naka

tsugou no kizu dake hikerakashite tegaru na tsuyosa de kachitoru sube o
dore dake tooidemo ki wa yatsureru furatsuita shisou doori da

ai-same-CRIER aibu-save-LIAR
Eid-sei-Rising HELL
aishiteru Game sekai no Day
Don’t-sei-War Lie-heishi-War-World
Eyes-Hate-War
A-Z Looser-Krankheit-Was IS das?

ukeuri tate ni mikudashitetemo soko ni wa jimen shika nai koto sae
kidzukanu mama ni kowareta kako ni maketa kagami no oku

doko made sakebeba ichi o shireru todome mo nai mama iki ga kireru
dou dou sareta tsumi no mure to ushiromuki ni aragau

ai-same-CRIER aibu-save-LIAR
Aid-sei-Rising HELL
I’ll-ness Reset-End janai Burst
Don’t-sei-War Lie-heishi-War-World
Eyes-Hate-War
A-Z souzou High-de-Siehst YOU das?

itsuwari no taido na okubyou Loud Voice
kedakasa o kanchigai shita shinzouon
neraidoori no maboroshi mitemo
mitasenai nandomo me o aketemo

doko made sakebeba ichi o shireru todome mo nai mama iki ga kireru
dou dou sarashita tsumi no mure to ushiromuki ni aragau

ai-same-CRIER aibu-save-LIAR
Eid-sei-Rising HELL
aishiteru Game sekai no Day
Don’t-sei-War Lie-heishi-War-World
Eyes-Hate-War
A-Z Looser-Krankheit-Was IS das?

Leben, was ist das?
Signal, Siehst du das?
Rade, die du nicht weisst
Aus eigenem Willen
Leben, was ist das?
Signal, Siehst du das?
Rade, die du nicht weisst
Sieh mit deinen Augen

The video portion of such videos is very likely fair use as they only use small, highly edited portions of the original video footage. The audio portion is less likely to be fair use as these videos typically use an entire song, yet is still arguably fair use because of the non-commercial, transformative use of the song, low probability of harm to the market for the original song, and the impossibility of the average amateur video creator to license the song.

Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favor of fair use.

I DON'T OWN ANYTHING IN THIS VIDEO EXCEPT THE EDITING.