Well, I think CS is a place which it should be top of Google search list. So let's this community as informative as possible.
Marcusluvsgreen, I hope the infor clear the cloud.
CANON
Lens with motors - USM (All of Canon lens had motors. USM means Ultrasonic motor.)
Lens with stabilization - IS
Lens for Full Frame Cameras - EF
Lens for Corpped Frame Cameras - EF-S
(note that for crop frame cameras [APS-C] - the camera can accept both EF and EF-S mount lens
for crop frame cameras [APS-H] - the camera can only accept EF mount lens
for Full frame cameras [FF] - the camera can only accept EF mount lens)
NIKON
Lens with motors - AF-S or AF-I
Lens with stabilization - VR or VR II
Lens for Full Frame Cameras - FX
Lens for Corpped Frame Cameras - DX (for full frame camera, one can still mount the crop frame lens)
TAMRON
Lens with motors - USD (USD is the ultrasonic motor of Tamron - equivalent to Sigma's HSM and Canon's USM, but all Tamron lens - except those very old manual lens, have built in motor - eg PZD)
Lens with stabilization - VC
Lens for Full Frame Cameras - Di
Lens for Corpped Frame Cameras - Di II
SIGMA
Lens with motors - HSM (all Sigma lens had motor, not just those with the HSM - HSM means High speed motor)
Lens with stabilization - OS
Lens for Full Frame Cameras - DG
Lens for Corpped Frame Cameras - DC
TOKINA
Lens with motors - IF-S
Lens with stabilization - Not Applicable
Lens for Full Frame Cameras - FX
Lens for Corpped Frame Cameras - DX