1.) The original Dominion was a moniker for Andrew Szava-Kovats who created electro-industrial music. Discography:

1986 - The Oracle (Cassette Release on K.O. City Studio)
1989 - Manhunt (CD and LP release from KK Records)
1990 - Lost (CD and LP release from KK Records)
1991 - Battleground (LP Release from Tragic Figures)
1997 - Only the Strong Survive (CD release from Metropolis)

Also appeared on several compilations from '86-'98.

2.) Dominion was groovy doom metal band from UK. Formerly known as Blasphemer. Quest members from well known My Dying Bride.
Band split up after their label Peaceville tried to turn them into a dance band. Guitar player Christiano currently works on his fathers pig farm in Malta.
Releases:
1996 - Interface
1997 - Blackout
2006 - Treshold - a retrospective {Compilation}

3.) Dominion is brutal death from Sweden, the current line up is Victor Brandt - Vocals and Guitar and Jocke Olofsson - Drums.
The debute album “Born God and Aware” (artwork by Per Olofsson) is unleashed in 2006 and takes brutality to new extremes!
Victor Brandts sickening abuse of strings and zombiefied growls along with Jocke O’s blast-o-rama is a total show of extreme and fast deathmetal combined with superior technique and catchy riffs!

4.) Dominion is a suicidal black metal band from Sweden signed to Northern Silence Productions.
Discography:
-Midnight Waltz (Demo, 2003)
-Death of Mankind...A Dream (Split with Nae'blis, 2006)