LeBron James has the most career games by an active player in the playoffs, with 266 games.

nba active players with most playoff games played
JamesIguodalaGreenDurantHaslemHillHardenLeonardRondoPaulMillsapHowardHorfordGreenThompsonCurryWestbrookGeorgeArizaGasolLowryCrowderMillsWilliamsVarejao266170153151147139137135134129129125124123123112111108106999794908988
NAMEGPMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBASTSTLBLKTOVPF+/-
LeBron JamesLeBron James26641.528.79.07.21.70.93.710.220.749.51.64.833.76.68.974.011,0357,6312,3911,919454252975616+1310
Andre IguodalaAndre Iguodala17030.69.74.53.61.30.51.43.57.745.81.13.035.51.62.758.25,2051,65076960621786233340+204
Danny GreenDanny Green15325.68.13.21.21.10.80.82.97.140.51.84.838.70.50.675.33,9121,232497189162120128317+585
Kevin DurantKevin Durant15140.329.57.84.01.01.23.210.020.947.82.26.335.77.38.486.56,0834,4541,182610157182480375+750
Udonis HaslemUdonis Haslem14721.75.75.60.60.40.30.82.34.748.00.00.00.01.11.671.33,194833822825841118386-31
George HillGeorge Hill13930.711.43.02.60.90.21.33.88.545.31.33.437.22.53.180.14,2671,58741936612333183309+251
James HardenJames Harden13735.423.35.56.01.70.53.47.016.342.82.57.533.26.97.986.84,8443,19174781923873470426+340
Kawhi LeonardKawhi Leonard13535.521.27.92.81.80.71.97.514.851.11.74.239.94.45.384.44,7902,8651,06038324092253303+668
Rajon RondoRajon Rondo13434.012.55.68.51.70.22.65.011.444.00.51.533.01.92.964.94,5591,6697441,13622824349320+277
Chris PaulChris Paul12936.820.75.08.32.00.22.67.615.848.11.74.537.43.84.485.04,7442,6666411,07325624339381+84
Paul MillsapPaul Millsap12927.512.26.81.70.91.11.64.49.645.70.51.828.62.94.072.63,5441,571877221119138204376-110
Dwight HowardDwight Howard12531.615.311.81.20.82.02.65.49.258.90.00.114.34.48.054.83,9451,9091,47314994248323467-77
Al HorfordAl Horford12434.613.68.13.50.81.21.65.511.050.10.61.540.21.92.477.84,2881,6811,00543096148201314-260
Draymond GreenDraymond Green12335.612.59.36.11.61.52.64.49.944.51.23.731.52.53.473.74,3761,5361,149754197180325458+888
Klay ThompsonKlay Thompson12337.219.34.02.21.00.51.87.216.244.23.07.341.51.92.284.14,5702,37248627211966220336+554
Stephen CurryStephen Curry11237.826.55.46.31.60.33.58.719.445.04.210.540.14.85.390.64,2352,96860470418130390282+777
Russell WestbrookRussell Westbrook11137.524.67.27.91.80.34.08.520.940.81.44.729.66.17.482.74,1682,72779487419831441324+138
Paul GeorgePaul George10839.121.37.54.11.50.53.16.916.242.42.46.835.15.26.382.54,2222,29981344416559340354+201
Trevor ArizaTrevor Ariza10632.010.15.01.81.30.21.13.68.442.31.64.336.51.42.072.23,3891,07452819414226121278-37
Marc GasolMarc Gasol9934.313.47.53.20.81.41.44.710.644.40.51.536.63.54.380.83,3941,33174732183140141336+40
Kyle LowryKyle Lowry9735.015.54.65.81.40.22.55.212.341.91.95.534.23.34.179.33,3961,50444455813223242336+138
Jae CrowderJae Crowder9430.010.95.61.90.90.50.83.69.139.52.05.834.31.62.177.52,8161,020522174874576250-72
Patty MillsPatty Mills9016.06.71.51.70.60.00.72.45.642.91.33.438.00.70.880.01,44260713415250466111+151
Lou WilliamsLou Williams8923.311.42.22.80.80.11.54.09.940.00.83.027.62.63.282.02,0731,015199250747130128+1
Anderson VarejaoAnderson Varejao8819.25.04.80.60.80.50.71.93.848.80.00.10.01.32.061.81,69344042651694164237+239