Based on the approx. 40 games minimum criteria I'll go as below (since 1996). Obviously the likes of Tonev, Balaban, Danny Drinkwater, Mark Bunn etc. would be included with a less strict criteria on the amount of games. It also feels harsh to include Nyland considering his performance in the League Cup semi, but I'm struggling for a terrible keeper that played that many games.
Nyland
Richards, Elphick, Lescott, Cissokho
Bacuna, Kinsella, Sanchez, Richardson
Gestede, C.Cole