ANA: Getzlaf, Kesler, Perry
ARI: Ekman-Larsson, Hjalmarsson, Hossa (will be exempt due to health reasons),
BOS: Bergeron, Marchand
CAR: Staal
CHI: Kane, Keith, Seabrook, Toews,
COL: Johnson
CBJ: Dubinsky, Foligno
DAL: Benn, Bishop, Radulov, Seguin
DET: Nielsen
EDM: Lucic, Russell
FLA: Barkov, Huberdeau, Yandle
LA: Doughty, Kovalchuk, Phaneuf
MIN: Parise, Suter
MTL: Price, Petry
NYR: Lundqvist, Shattenkirk, Staal, Zibanejad
OTT: Ryan
PHI: Giroux
PIT: Crosby, Kessel, Letang, Malkin
SJ: Vlasic
TB: Hedman, Kucherov, Stamkos
TOR: Tavares
WPG: Wheeler
Here are current players who currently have NMC for 2020-21 - this is assuming that expansion draft will take place in the summer of 2020. I bolded ones which might be problematic. About Lundqvist not questioning his ability but he's 38 at that point - if younger challenger emerges then it can give some headache.
Of course we should assume some more NMCs coming for next summer's UFA group like Karlsson, Stone and Panarin (not saying they will go to UFA market)