"Collider" Jon Hopkins
"She Sleeps" Faltydl ft. Ed Macfarlane
"Fade" Jon Convex
"Lights Out, Words Gone" (Dark Sky Remix)
"Cocoa Hooves" Glass Animals 
"Hurt (Pedestrian Remix)" Ursa Minor
"Feel the Fall" Telefon aviv & Dillon
"Entertainment" Garden City Movement

Most pieces by Two Steps from Hell or E.S Posthumus

As for songs with lyrics:
Depeche Mode - Wrong
Dave Gahan - Deeper and Deeper
Red - Take it All Away
V.A.S.T - Flames
Chris Cornell - Pillow of Your Bones

Lykki Li - Until We Bleed
Chet Faker - 1998
The XX - Reconsider (Jamie xx Remix
S O H N - Red Lines
Wyatt - Attention"
Major Lazer - Get Free
Clueso - Mitnehm
BANKS - Change (The Chainsmokers Remix)
Casper - Auf und davon

And the songs of Purity Ring! 

Babymetal.

Erykah Badu "I want you" www.youtube.com/watch?v=znbXY1…

Grace Jones "Slave to the Rhythm" www.youtube.com/watch?v=1UXCSn…

Bastille - All This Bad Blood (Full Disk 2) (most of the songs after the first few) www.youtube.com/watch?v=i7yk81…
The Scores from The Lion King Soundtrack

Steve Roach - Quiet Canon: www.youtube.com/watch?v=WRgdea…
Noir Deco - Replicant City: www.youtube.com/watch?v=eKGjRP…
Gas - Microscopic: www.youtube.com/watch?v=dvTe1-…

This whole album:
www.youtube.com/watch?v=kf6ot7…

Off the top of my head,
Lindsey Stirling-Take Flight
Okami-Rising Sun

William Basinski- d|p 2.1 www.youtube.com/watch?v=0KzOz5…
Donald Byrd- Cristo Redentor www.youtube.com/watch?v=w2KvM2…
DJ Shadow- Napalm Brain/Scatter Brain www.youtube.com/watch?v=csWzB9…
Joy Division- I Remember Nothing www.youtube.com/watch?v=3YtgzI…
Amon Tobin- Deo www.youtube.com/watch?v=av25Ib…
Burial- Forgive www.youtube.com/watch?v=MB3z4i…
El-P- Pigeon www.youtube.com/watch?v=puK0qB…
Mobb Deep- Eye for an Eye (Your Beef Is Mines) www.youtube.com/watch?v=laBuBy…
Aphex Twin- Mold www.youtube.com/watch?v=yWQFIy…
Boards of Canada- Corsair www.youtube.com/watch?v=wf6pev…

The ending theme for Journey, I Was Born For This. www.youtube.com/watch?v=2_wkJ3…
Versa- We Are Not What We Say We Are www.youtube.com/watch?v=dsupC1…
Woodkid - I Love You www.youtube.com/watch?v=uvbSwm…

Babes in Toyland - Ariel www.youtube.com/watch?v=EN9srg… That chorus. Every time.

Rolo Tomassi - Howl www.youtube.com/watch?v=iE400a… Love the buildup until 2:30

Blonde Redhead - Heroine www.youtube.com/watch?v=zVMF6g… Kazu's ghostly voice. The way she says Roland and "He went without me," towards the end. Love the guitar, too.

Seapony - Into the Sea www.youtube.com/watch?v=afkj3r…

Black Tambourine - For Ex-Lovers Only www.youtube.com/watch?v=GUoGQx… Everything about it

Vivian Girls - Before I Start to Cry www.youtube.com/watch?v=99qRWm…

Heavens to Betsy - Stay Away www.youtube.com/watch?v=538RUn… Staaaay... a-WAAAAAAAAAAAAAAAAAAAY!

...etc. And most anything by Cranes.

Prologue (opening to "Beauty and the Beast") - Alan Menken (also "Transformation/Finale")
The Highwayman - Loreena McKenitt

"Back, he spurred like a madman, shrieking a curse to the sky,
With the white road smoking behind him and his rapier brandished high.
Blood red were his spurs in the golden moon; wine-red was his velvet coat;
When they shot him down on the highway,
         Down like a dog on the highway,
And he lay in his blood on the highway, with a bunch of lace at his throat"

*shudders*

Sorry of I made any mistakes. (And the long list)

30 Seconds to Mars - Kings and Queens
30 Seconds to Mars - This is War
Akeboshi - Wind
Akeboshi - Yellow Moon (Japanese)
Antigone Rising - Waiting, Watching, Wishing (No Link)
Asian Kung-Fu Generation - Haruka Kanata (Japanese)
Benga - I Will Never Change
Chaba - Parade
Crush 40 - Sonic Heroes
Daft Punk - Aerodynamic
Daft Punk - Harder, Better, Faster, Stronger
Deadmau5  - Aural Psynapse
Deadmau5 - HR 8939 Cephei
Deadmau5 - Jaded
Deadmau5 - Lack of Better Name
Deadmau5 - Strobe
Don Rimini - Let Me Back Up (Crookers Remix)
Flow - Go (Japanese)
Flux Pavilion - Do or Die
Haim - Forever
Hey Marseilles - Bright Stars Burning
Hey Marseilles - Heart Beats
Hysteric Blue - Grow Up (Japanese)
Ikimonogakari - Blue Bird (Japanese)
Jay Z - Empire State of Mind
Kele - Tenderoni
Long Shot Party - Distance (Japanese)
Lung - Time Just Gets Away From Us
Madeon - Pop Culture
Madeon - Technicolor
Moody Good - Hotplate
My Chemical Romance - Helena
Never Shout Never - On The Brightside
Oasis - Wonderwall
Oneworld - Lingus
Palmbomen - Galore
Porter Robinson - Lionhearted
Porter Robinson - Sad Machine
Sambomaster - Seishun Kyousoukyoku (Japanese)
Sense Field - Save Yourself
Skrillex - All I Ask of You
Skrillex - Because
Skrillex - Leaving
Snowkel - Namikaze Satellite (Japanese)
Snow Patrol - Set Fire to the Third Bar
Sonic Adventure - Mystic Ruin
Sonic Adventure - Station Square
Sonic Colors - Planet Wisp Act 1
Sonic Colors - Planet Wisp Map
Starkey - Nucleus
Super Mario Galaxy 2 - Cosmic Cove Galaxy
Super Mario Galaxy 2 - World 3
Sylvan Esso - Hey Mami
System of a Down - Chop Suey
T.A.T.U - Not Gonna Get Us (Russian)
The Glitch Mob - Starve The Ego, Feed The Soul
Tia - Ryūsei (Japanese)
Tyler The Creator - IFHY
What So Not - Jaguar
Zedd - Find You
Zedd - Shave It (501 Remix)

Hello 31337

m.youtube.com/#/watch?v=S33B5L…

Sleep - Godspeed You! Black Emperor Hell, anything by Godspeed You! Black Emperor.