Such songs tend to vary over time, but below are a few long runners and new additions.
Rammstein - Mein Teil, Du Hast, Ohna Dich, Stripped:Cover of original by Depeche Mode
Nine Inch Nails - Head Like a Hole, Ringfinger, Happiness in Slavery, Hurt
Röyksopp - Bounty Hunters, What Else Is There, Vision One, Keyboard Milk
Loreena McKennitt - The Old Ways, Lullaby, The Mummer's Dance
Thin Lizzy - Whiskey in the Jar, Got to give it up, The Boys are Back in Town
Metallica - Harvester of Sorrow, One, Sad But True, Unforgiven
Tori Amos - Leather, Crucify, Cornflake Girl, I Ran (So Far Away):Cover of original by A Flock of Seagulls
Depeche Mode - Stripped, World in My Eyes, Higher Love, It's No Good
Zeropage - Deep Space Operators, Tranquilizer Jam
Lords of Acid - I Sit on Acid, The Crablouse, You Belong To Me
Suicide Commando - God Is In The Rain, Severed Head (Vocals provided by Jack Webb)
Batzorig Vaanchig - Cengiz Han'a Övgü, The Beautiful Steppe
Judas Priest - The Sentinel, Victim of Changes, Diamonds & Rust:Cover of original by Joan Baez, A Touch of Evil, Living Bad Dreams, Love Bites, Electric Eyes, Worth Fighting For, Blood Red Skies
ZZ Top - Pearl Necklace, Got Me Under Pressure, Sleeping Bag
That does not touch the more esoteric stuff like Glukoza, Myriam Faris or Armin van Buuren