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Daft Punk. It's the only one I recognized even after Youtube searches

Get ready for this one!

1. Bang Bang- Jessie J ft. Ariana Grande and Nicki Minaj
2. Come Get it Bar- Pharrell
3. Secrets- Mary Lambert
4. Hooked on a Feeling- Blue Suede
5. All About That Bass- Meghan Trainor
6. Your Song- Jim Witter
7. Shake it Off- Taylor Swift
8. Working My Way Back to You Babe- The Four Seasons
9. 1,2,3,4- Plain White Ts
10. My Sweet Lord- George Harrison

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Snoop Dogg finds his way into the mix.

1.Prime Mover- Ghost
2.Doggy Dog World- Snoop Dogg
3.Colony of Birchmen- Mastodon
4.For the Love of God- Steve Vai
5.Clash With Reality- Pantera
6.Tsume Tsume Tsume- Marty Friedman
7. Ghosts of War- Slayer
8.Escape- Metallica
9. Skin O' My Teeth- Megadeth
10. Broken Hands- Lamb of God

Immigrant Song - Led Zeppelin

1. Holy Smoke - Iron Maiden
2. Crimson and Clover - Joan Jett and the Blackhearts
3. Where Were You Last Night - Nightwish
4. Shot Down In Flames - AC/DC
5. Holier Than Thou - Metallica
6. The Loneliness of the Long Distance Runner - Iron Maiden
7. Горящая стрела - Ария
8. Corporate America - Boston
9. Hysteria - Muse
10. (Don't Fear) The Reaper - Blue Oyster Cult

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Solitaire - Carpenters

1. Pretend We're Dead - L7
2. Last Kiss - J. Frank Wilson & The Cavaliers
3. I Get Around - The Beach Boys
4. Wildcat - Ratatat
5. Youth Gone Wild - Skid Row
6. Sandstorm - Darude DUDUDUDUDUDUDU
7. Doctor Doctor - Iron Maiden
8. Lollipop - The Chordettes
9. I Would Die For You - John Wetton & Geoffrey Downes
10. I Was Lost Without You - Mass Effect 3

- Dorothy does whatever Miss Linda wants -

Strutter - Kiss, same reason - GTA

1. Walk Of Life - Dire Straits
2. You're the Voice - John Farnham
3. Splish Splash - Bobby Darin
4. Big City Nights - Scorpions
5. Свобода - Ария
6. My Heart Beat Like a Drum - ATC
7. Flight Over Venice - Assassin's Creed 2
8. Ride The Lightning - Metallica
9. Hunting High and Low - Stratovarius
10. Frozen Sky - Norther

- Dorothy does whatever Miss Linda wants -

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I'm not a Trekky, but I will admit the music is good so I gotta go with Ilia's Theme from your list.

1. Carry You - Jimmy Eat World
2. Best Thing That Ever Happened - Steve Jablonsky (Transformers: AoE score)
3. See the Light - Green Day
4. We Are Young - Fun.
5. Now We Are Free - Lisa Gerrard (Gladiator score)
6. Take Flight - Lindsey Stirling
7. Other Side - Bruno Mars f/ Cee Lo Green & B.o.B
8. Not With Haste - Mumford & Sons
9. Sidewinder Sleeps Tonight - REM
10. The Way I Am - Eminem

Now We Are Free - Lisa Gerrard

1. Sky Titans - Two Steps From Hell
2. Wishmaster - Nightwish
3. Lookin' Out My Back Door - Creedence Clearwater Revival
4. High Enough - Damn Yankees
5. Red Hot (Symphonic Mix) - Vanessa Mae
6. Castor - Daft Punk
7. After Dark - Tito & Tarantula
8. Awe of She - Daisuke Ishiwatari
9. Too Young to Fall in Love - Motley Crue
10. Come and Get Your Love - Redbone

- Dorothy does whatever Miss Linda wants -