Andrei Kanchelskis was the hero as the Blues recorded a 2-1 victory at Anfield in November 1995.
The flying Russian broke the deadlock on 53 minutes, heading home Paul Rideout's cross from the right flank to set the ball rolling.
And the winger silenced the Kop again 15 minutes later as he slammed a low shot past David James and into the corner of the net following clever play by Anders Limpar in the build-up.
Robbie Fowler netted late on to half the deficit, but the Toffees held on to record a victory over Roy Evans' side.
To re-live the action, watch the video above. Official Everton App users can view the footage by navigating to the ‘video’ section.