The 1984–85 season of the European Cup Winners' Cup was won by Everton in the final against Rapid Wien. Everton also won the English Football League that season and would therefore have entered the European Cup the following season. However, Everton were unable to do so due to the newly enacted 5-year ban on English clubs participating in European competitions as a consequence of the Heysel stadium disaster in May of the same year. Everton's 1985 trophy win was therefore the last English club success in European competition until Manchester United won this competition again in 1991. This would also be the last time Everton participated in European competition until the club competed in this tournament, once again following its FA Cup win.
Ħamrun Spartans won 3-1 on aggregate. ---- Everton won 1-0 on aggregate. ---- Bayern Munich won 6-2 on aggregate. ---- Trakia Plovdiv won 5-1 on aggregate. ---- Roma won 1-0 on aggregate. ---- 4-4 on aggregate. Wrexham won on away goals. ---- Fortuna Sittard won 3-0 on aggregate. ---- Wisła Kraków won 7-3 on aggregate. ---- Dynamo Dresden won 4-3 on aggregate. ---- Metz won 6-5 on aggregate. ---- Rapid Wien won 5-2 on aggregate. ---- Celtic won 3-1 on aggregate. ---- Larissa won 3-1 on aggregate. ---- Servette won 6-1 on aggregate. ---- Dynamo Moscow won 6–2 on aggregate. ---- Internacionál Slovnaft Bratislava won 2-1 on aggregate.
Second round
First leg
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Second leg
Bayern Munich won 4-3 on aggregate. ---- Roma won 3-0 on aggregate. ---- Everton won 4-0 on aggregate. ---- Fortuna Sittard won 3-2 on aggregate. ---- Dynamo Dresden won 3-1 on aggregate. ---- Larissa won 3-1 on aggregate. ---- Dynamo Moscow won 6-0 on aggregate. ---- The match was voided following a disciplinary investigation by UEFA and a series of appeals due to reported incidents during the contest. Over a month later, a replay was ordered at a neutral venue at least 300km away from Glasgow. Rapid Wien won 4-1 on aggregate.
Quarter-finals
First leg
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Second leg
Bayern Munich won 4-1 on aggregate. ---- Everton won 5-0 on aggregate. ---- Rapid Wien won 5-3 on aggregate. ---- Dynamo Moscow won 1-0 on aggregate.
Semi-finals
First leg
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Second leg
Everton won 3-1 on aggregate. ---- Rapid Wien won 4-2 on aggregate.