LeBron James has the most games in the playoffs with 10+ rebounds, 30+ points and 10+ assists, with 15 games.

most games in playoffs with 30 points 10 rebounds and 10 assists by a player
Interpreted as:
most games in playoffs with 30 or more points 10 or more rebounds and 10 or more assists by a player
JamesWestbrookHardenButlerDoncicJokicCurryBarkleyChamberlainBookerDurantNashPierceDavisPaytonJordanWorthySampsonThomasBirdAbdul-JabbarWestHavlicekRobertson1563222222111111111111111
NAMEGPPTSREBASTMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINSTLBLKTOVPF+/-
LeBron JamesLeBron James1553518416743.435.712.311.11.31.03.912.926.548.92.56.538.87.310.172.265119155944+101
Russell WestbrookRussell Westbrook6215677241.335.811.212.03.00.54.712.229.241.72.06.530.89.511.285.12481832814+69
James HardenJames Harden399333038.733.011.010.01.01.36.010.721.749.24.711.740.07.08.087.5116341810+40
Jimmy ButlerJimmy Butler275232446.037.511.512.03.51.54.012.519.564.10.51.533.312.013.092.3927382+25
Luka DoncicLuka Doncic274272443.337.013.512.01.51.55.014.527.552.74.510.542.93.56.058.38733104+30
Nikola JokicNikola Jokic265382452.432.519.012.00.51.55.013.027.048.12.56.538.54.07.057.110513106-5
Stephen CurryStephen Curry269232241.834.511.511.01.00.05.09.021.042.95.513.540.711.011.595.78420103+24
Charles BarkleyCharles Barkley275272046.537.513.510.02.51.52.013.020.563.40.01.00.011.513.088.5935343
Wilt ChamberlainWilt Chamberlain267422148.033.521.010.514.024.058.35.59.061.1967
Devin BookerDevin Booker140131143.940.013.011.00.00.02.015.029.051.73.07.042.97.07.0100.0440023+6
Kevin DurantKevin Durant149171048.049.017.010.03.02.03.016.023.069.64.09.044.413.016.081.3483233+6
Steve NashSteve Nash134131242.034.013.012.01.00.05.013.026.050.02.05.040.06.06.0100.0421050+4
Paul PiercePaul Pierce132101145.032.010.011.02.01.06.09.017.052.91.03.033.313.015.086.7452164-2
Baron DavisBaron Davis133141052.033.014.010.02.00.00.012.029.041.43.09.033.36.08.075.0522002+14
Gary PaytonGary Payton135101142.035.010.011.06.00.04.011.023.047.83.07.042.910.011.090.9426044+10
Michael JordanMichael Jordan134101246.034.010.012.02.00.06.011.017.064.71.02.050.011.011.0100.0462065
James WorthyJames Worthy136161044.036.016.010.02.00.05.015.022.068.20.00.06.010.060.0442052
Ralph SampsonRalph Sampson133171037.033.017.010.02.05.06.013.022.059.10.00.07.011.063.6372563
Isiah ThomasIsiah Thomas130101253.030.010.012.01.00.03.013.029.044.80.01.00.04.09.044.4531034
Larry BirdLarry Bird139121042.039.012.010.03.00.05.013.024.054.21.02.050.012.012.0100.0423055
Kareem Abdul-JabbarKareem Abdul-Jabbar138231148.038.023.011.016.025.064.06.012.050.0482
Jerry WestJerry West142131248.042.013.012.014.029.048.314.018.077.8482
John HavlicekJohn Havlicek131101248.031.010.012.013.024.054.25.07.071.4480
Oscar RobertsonOscar Robertson134131134.013.011.011.025.044.012.013.092.34
StatMuse has game-level data for assists going back to the 1965 playoffs.