Wayne Rooney and Jamie Carragher picked their six-man shortlists for the Premier League Hall of Fame, agreeing on three candidates.
The Premier League launched the Hall of Fame in April last year, with Alan Shearer and Thierry Henry becoming the first two inaugural members of the club.
A total of ten retired players have now had their careers celebrated, including Eric Cantona, Roy Keane, Frank Lampard, Dennis Bergkamp, Steven Gerrard, Patrick Vieira and Rooney - the most recent two inductees.
Fans are also encouraged to vote and have their say on the Premier League, with the next batch of six on the way.
Advert
And both Rooney and Carragher believe Paul Scholes, Sergio Aguero and John Terry should all be bestowed with the "greatest honour" in joining the Hall of Fame.
"I went for Sergio Aguero, who I think has given us the best moment in the Premier League with that goal," Carragher said on Sky Sports' latest episode of Monday Night Football, where Crystal Palace beat Arsenal 3-0 at Selhurst Park.
"I then went with John Terry, who I’ve said for years is, in my opinion, the best centre-back in Premier League history. Paul Scholes, one of the absolute greats in midfield."
Rooney concurred with his fellow scouser, though he did state that 11-time Premier League winner Scholes should have been one of the first to go in.
Advert
The Derby County boss commented: "The ones which are the same are Sergio Aguero, one of the best strikers the Premier League has ever seen. Paul Scholes, in my opinion, it should have been him and Alan Shearer, the first two.
"I went with John Terry also. Horrible to play against, dominant for so many years in the Premier League."
Carragher also selected Peter Schmeichel, Yaya Toure and Robbie Fowler, while Rooney opted for Ian Wright, Vincent Kompany and Ashley Cole to complete strong lists on either side.
Advert
Rooney added: "I went for Ian Wright. Growing up, I used to hate watching him play against Everton because he’d always score. He was a character, he had a cheekiness about him.
"I also went for Vincent Kompany. I think I had so many battles against Kompany throughout the years. I enjoyed the challenge of playing against him.
"The last one I went for was Ashley Cole. For big periods of his career, he was the best left-back in the world."
Supporters now have the chance to pick from 25 star-studded nominees and decide on the next six inductees, which will be announced this month.
Advert
Members receive special medallions as mementos and are also able to donate £10,000 to a charity of their choosing.
Topics: Jamie Carragher, Wayne Rooney, Premier League