I started a thread like this in 2008
(click), so I'm just going to copy/paste my list from back then with just a couple adjustments, because it's really hard to narrow it down to a list this size when I've been listening to music seriously for 20+ years.
(I decided to make it a top 20 list, and I tried to keep it to just one album per artist.)
The Cure - Kiss Me, Kiss Me, Kiss Me
The Smiths - The Smiths
Natacha Atlas - Halim
Modest Mouse - This is a Long Drive For Someone With Nothing To Think About
Kozi - Katharsis
Malice Mizer - Bara no Seidou
Metallica - ...And Justice for All
The Misfits - Walk Among Us
Christian Death - Only Theater of Pain
The Sugarcubes - Life's Too Good
Deee-Lite - Dewdrops in the Garden
Anthrax - Sound of White Noise
Duran Duran - Rio
GWAR - America Must Be Destroyed
Arcadia - So Red the Rose
Faith No More - Angel Dust
Fear of God - Within the Veil
My Life with the Thrill Kill Kult - Confessions of a Knife
Sinead O'Connor - The Lion and the Cobra
Underworld - Second Toughest in the Infants