LeBron James has the most games with 5+ assists, 30+ points and 5+ rebounds, with 347 games.

most games with a 30 point and 5 assists and 5 rebounds by a player
Interpreted as:
most regular-season games with a 30 or more point and 5 or more assists and 5 or more rebounds by a player
JamesJordanHardenWestbrookBryantBirdMaloneDurantIversonWadeMcGradyCurryAntetokounmpoBarkleyDrexlerLillardCarterEnglishJohnsonPierceO'NealOlajuwonDoncicAguirreWebber3472371871711541451361241091061069183817870676665615856535250
NAMEGPPTSASTREBMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINSTLBLKTOVPF+/-
LeBron JamesLeBron James34712,2032,7752,96641.035.28.58.01.80.83.712.723.354.62.25.539.57.610.175.114,2226112721,267706+2190
Michael JordanMichael Jordan2378,7501,7301,90941.036.98.17.32.80.93.013.626.052.20.71.934.79.110.686.19,727658215720708+215
James HardenJames Harden1877,0901,6711,53538.937.98.28.91.80.75.111.023.048.04.711.241.611.212.986.97,277344134947538+1267
Russell WestbrookRussell Westbrook1716,1521,5871,66538.336.09.79.31.80.34.612.826.049.21.95.335.28.610.581.36,54630457795449+780
Kobe BryantKobe Bryant1545,5161,0371,16642.435.87.66.71.60.63.512.424.949.61.95.137.49.110.885.06,52723997535428+882
Larry BirdLarry Bird1455,2391,1481,47242.136.110.27.914.124.757.01.53.247.56.47.190.66,104360
Karl MaloneKarl Malone1364,5938161,52340.433.811.26.01.60.93.012.621.658.50.10.333.38.410.976.95,492215125404419+697
Kevin DurantKevin Durant1244,3427941,11840.235.09.06.41.31.33.711.722.152.92.86.542.98.89.988.94,986160155463291+796
Allen IversonAllen Iverson1093,97580868344.436.56.37.42.30.23.912.627.146.51.94.740.19.411.780.04,83624721423200+554
Dwyane WadeDwyane Wade1063,70085473940.934.97.08.12.01.23.812.322.454.80.92.535.59.511.880.44,338216122401274+777
Tracy McGradyTracy McGrady1063,86074683842.336.47.97.01.80.92.913.026.848.72.76.342.17.79.878.64,48718691308216+703
Stephen CurryStephen Curry913,26869261037.235.96.77.61.90.33.412.022.353.96.312.152.15.66.191.93,38317125313197+1026
Giannis AntetokounmpoGiannis Antetokounmpo832,8695851,08435.634.613.17.01.51.63.212.521.059.81.13.431.78.411.374.32,957122129262244+736
Charles BarkleyCharles Barkley812,7055161,11642.233.413.86.42.01.14.011.918.962.80.92.535.88.711.277.83,42116393322250+9
Clyde DrexlerClyde Drexler782,70961467641.134.78.77.92.60.72.813.423.257.81.12.640.06.98.481.23,20320057222253+8
Damian LillardDamian Lillard702,57556145738.936.86.58.01.20.33.011.723.250.64.910.945.48.49.291.32,7208322209134+473
Vince CarterVince Carter672,33744155042.534.98.26.61.50.92.612.324.051.32.96.048.47.39.081.22,8519860177201+659
Alex EnglishAlex English662,32245450239.735.27.66.93.114.526.155.50.00.142.96.27.285.72,622203212
Magic JohnsonMagic Johnson652,17077856240.933.48.612.011.319.857.10.92.339.59.911.586.42,659151
Paul PiercePaul Pierce612,06137652042.233.88.56.21.60.73.410.821.649.82.45.842.29.811.882.82,5759645205173+388
Shaquille O'NealShaquille O'Neal581,98334774641.434.212.96.00.82.73.013.622.161.40.00.0100.07.012.954.72,39948154173164+319
Hakeem OlajuwonHakeem Olajuwon561,96732575241.835.113.45.82.14.03.413.723.458.60.00.220.07.69.877.92,342118225193193-3
Luka DoncicLuka Doncic531,86852354436.035.210.39.91.20.44.211.923.351.04.110.140.77.49.577.91,9066221223137+384
Mark AguirreMark Aguirre521,77934237738.334.27.36.60.53.613.424.554.70.51.633.36.99.076.81,98927186159
Chris WebberChris Webber501,66632158844.033.311.86.41.71.83.013.725.454.00.51.241.45.47.671.22,1988789152165+270
StatMuse has game-level data for assists and rebounds going back to the 1982-83 season.