Rubuta ci gaba don wannan sakin layi - The Islanders sun zaɓi na farko gaba ɗaya sau huɗu, gami da lokacin su na farko da suka halarci zane (1972) lokacin da suka zaɓi Billy Harris, da 1973 (Denis Potvin), 2000 (Rick DiPietro), da 2009 (John Tavares). Harris ya buga wasa tare da tsibirin na tsawon shekaru takwas kafin a yi ciniki da shi zuwa Los Angeles Kings, yayin da Potvin da DiPietro suka yi aiki da NHL tare da tsibirin. Tavares ya kasance tare da ƙungiyar daga 2009 lokacin da aka tsara shi kuma ya yi aiki a matsayin kyaftin din ƙungiyar har zuwa 2018 lokacin da ya sanya hannu tare da Toronto Maple Leafs a lokacin Unrestricted Free Agency. A halin yanzu Anders Lee yana aiki a matsayin kyaftin. 'Yan wasa biyu kawai, Potvin da Bryan Trottier (1974), sun buga wasanni sama da 1000 tare da' yan tsibirin, kodayake wasu takwas sun buga akalla wasanni 1000 a NHL. Zaɓuɓɓuka biyar da aka zaɓa sun shiga cikin Gidan Shahararren Hockey: Potvin, Clark Gillies (1974), Trottier, Mike Bossy (1977), da Pat LaFontaine (1983
) Ya ce: Dukkanin, sai dai LaFontaine, tare da Bob Nystrom (1972) sun yi ritaya da lambar rigar su ta ƙungiyar.