I'll be the devil's advocate once again and fix the list

.
Draconian (gothic metal) - Correct
Shade Empire (Black metal) - Symphonic/Industrial-ish with Black vocals (definitely not Black Metal)
Children of Bodom (Black Metal) - Power metal meets melodeath with a hybrid extreme vocals (hard to define - great liveband as well though!)
Satyricon (Black metal) - Yes, 10 years ago. Now they're pretty much a Heavy metal band with black vocals.