Selanne, Getz, Perry, and Giguere. All four won the Cup as Ducks.
The Twins of Getz and Perry should always be together for how long they played together, which was 14 years. Teemu put in 15 years with the Ducks, 6 years with Kariya and 9 years without Kariya. Giguere and Kariya played 9 years with the Ducks.
As for accolades (excluding HoF)
Selanne: Cup, Calder, Richard, MastersonGetzlaf: CupPerry: Cup, Richard, HartGiguere: Cup, SmytheKariya: Byng
When Kariya did see the playoffs, it was because Giguere broke his back carrying the team to game 7 of the Cup finals and won the Smythe for it. Kariya decided to pursue his own goals after that Cup final run by signing with the Avs for $1.2 mil. That $1.2 mil low contract allowed Kariya to be free agent after that season. Giguere eventually won the Cup with Ducks.
I ended up voting for Kariya, but I agree he’s not nearly as automatic as I think it’s being made out to be by some. He has significantly fewer games played than Perry, a worse playoff resume and doesn’t have the Hart. And Giguere’s Smythe and cup winning playoffs are more important for the team’s success than Kariya’s regular season resume. I think there’s definitely an argument for both above Kariya, and Getzlaf and Selanne are givens.
I’d say the arguments for Kariya would be that he was simply a better player than Perry and Giguere, and was the first star and face of the franchise. I think for many, him and Selanne are the first things people think of when they think of the Ducks, even all these years later.