CBM 3000 Series: 40 Col. Screen, BASIC 2.0-2.3, Same Board as Thin 4000. 3001 series in Germany were just 2001's with big Keyboard.
CBM 3008 8kB, 9" Screen.
CBM 3016 16kB
CBM 3032 32kB.
 
CBM 4000 Thin Series: 9" Screen, 40 Column Only, Basic 4.0.
CBM 4000 Fat Series:  12" Screen, Upgradeable to 80 Column, When upgraded
to 80 Columns, the systems were 8000's.
CBM 4004 4kB, One Piece.
CBM 4008 8kB, One Piece.
CBM 4016 16kB, One Piece.
CBM 4032 32kB, One Piece
CBM 4064 Educator 64 in 40XX case. green screen (no Fat option)
 
CBM 8000 Series: 12" Screen, 80 Column, BASIC 4.0
SK means "SoftKey", or "Separated Keyboard"  All -SK and d units were enclosed in CBM 700/B series HP cases.
CBM 8008 8kB, One Piece
CBM 8016 16kB, One Piece
CBM 8032 32kB, One Piece
CBM 8032-32 B 8032 in Higher Profile case (HP).  Could install LP drives.
CBM 8032 SK 32kB, Detached Keyboard, SK = SoftKey or Separated Keyboard.
CBM 8096 96kB, 8032 with 64kB ram card
CBM 8096 SK 96kB, Detached Keyboard.
CBM 8096d 8096 + 8250LP
CBM 8296 128kB, Detached Keyboard, Brown like 64, LOS-96 OS
CBM 8296d 8296 + 8250LP
"CASSIE" Synergistics Inc. rebadged 8032