The 56-year-old joined the Reds in 1978 from Hereford United in a move which he admits he was reluctant to take, given that he was only 18 and Liverpool were enjoying a trophy-laden era domestically and on the continent.
The Republic of Ireland legend joined the English giants, spending four years at Anfield but an ankle injury, coupled with the ridiculous competition for places, ensured that the Wales-born midfielder had to wait two-and-a-half years for his debut, before making just two more first-team appearances.
Sheedy then made the short trip to Goodison Park and established himself as a legend on the blue half of Merseyside, scoring 97 times across a 10-year stint with the Toffees after being signed by Howard Kendall in 1982.
"I didn't really want to sign for Liverpool, I'd watched them first-hand and I'd seen the best midfield in Europe and I knew it was going to be difficult to break in," he told The Irish Independent.
"It was the last game of the season and I was playing for Liverpool reserves at Preston. I got a call off Colin Wood, who was a journalist with the Daily Mail and he asked me if I would be interested in signing for Everton and I said I would.
"He said he'd put the phone down and Howard Kendall would give me a ring."
Some 30 players have represented both Merseyside clubs, with Sheedy in the same company as names such as Peter Beardsley, Nick Barmby and Abel Xavier.