- No Parole From Rock 'n' Roll (1983)
- Disturbing the Peace (1985)
- Dangerous Games (1986)
Alcatrazz contains examples of:
- Atomic Hate: "Hiroshima Mon Amor", written in recognition of the survivors of the Hiroshima and Nagasaki bombings that emerged in the bombings' wake.
- Chainsaw Good: Bonnett gets one for his hair during the second verse in the video for "God Blessed Video".
- Cool Shades: Part of Bonnett's distinctive look.
- Cover Version: "Only One Woman" on Dangerous Games, a cover of a song Bonnett did as part of the Bee Gees-produced duo The Marbles, before he joined Rainbow.
- Minimalistic Cover Art: Disturbing The Peace
- Revolving Door Band: Graham Bonnett is pretty much the only constant member of the band, both before the band disbanded in 1987, and after the name was revived in 2006.
- Shock and Awe: Two power chords in "God Blessed Video" result in Steve Vai's guitar giving off lightning.