There are at least three bands by this name:

1) Melancholy Goth Rock Music for Vampyres.
Scary Monsters formed in Liverpool, England, in 1999. The band that survived prison, drug addiction, suicide, repossession and came out the other side with powerful songs of beauty and pain.
Band Members: Gary Perry, Jules Watts, Paul Tsanos.
Ex Members: Kevan Wiggins, Dale Moore, Phil McGee.
"Scary Monsters sound like the soundtrack to a film where kids go on a killing spree." NME
"Like The Killers, but better!" Sound
www.myspace.com/scarymonsters13

2) A rock band from João Pessoa, Brazil
http://www.myspace.com/bandascarymonsters

3) A Chicago punk rock band in existence during the mid nineties. They are remembered for their track "Full Speed Ahead" featured on the seminal Chicago punk rock compilation "Achtung Chicago! Drei," (Underdog Records, 1995). Scary Monsters also shared a split 7" record with Chicane on the suburban Chicago record label Dyslexic Records. Read more on Last.fm. User-contributed text is available under the Creative Commons By-SA License; additional terms may apply.