LeBron James has the most games with 5+ rebounds, 20+ points and 5+ assists, with 795 games.

who has the most games with 20 points 5 rebounds 5 assists
Interpreted as:
Who has the most regular-season games with 20 or more points 5 or more rebounds 5 or more assists?
JamesWestbrookJordanBirdMaloneHardenBryantDrexlerGarnettJohnsonDurantBarkleyWadeWebberPaytonPippenCurryPaulMcGradyPierceHillAntetokounmpoIversonLillardGriffin795437378363358343337333310289267266242230226223220220218194193192188182180
NAMEGPPTSREBASTMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINSTLBLKTOVPF+/-
LeBron JamesLeBron James79523,3206,7376,55939.329.38.58.31.70.83.510.720.551.91.74.735.26.38.673.731,2271,3276262,8121,488+5237
Russell WestbrookRussell Westbrook43712,5824,1104,28136.828.89.49.81.80.34.610.222.046.31.54.733.16.98.679.716,0737881401,9911,173+1975
Michael JordanMichael Jordan37812,2633,0102,79640.232.48.07.42.70.92.912.124.050.30.61.833.27.79.084.915,1821,0143241,1041,072+349
Larry BirdLarry Bird36310,5793,7002,80040.529.110.27.711.421.752.41.12.642.65.35.890.214,688860
Karl MaloneKarl Malone35810,0123,8162,17039.228.010.76.11.50.82.910.419.254.20.10.232.57.09.375.714,0415333011,0551,077+1577
James HardenJames Harden34311,0122,7193,08238.132.17.99.01.80.74.89.420.745.23.79.837.99.711.286.113,0756152411,633926+2077
Kobe BryantKobe Bryant33710,0052,5062,36440.829.77.47.01.60.63.410.422.446.51.54.334.57.48.883.413,7445312051,162881+1815
Clyde DrexlerClyde Drexler3338,7672,7132,48239.126.38.17.52.30.73.010.019.750.90.82.532.95.46.978.913,0077802381,0151,040+160
Kevin GarnettKevin Garnett3107,6384,0422,00640.024.613.06.51.41.62.69.718.452.80.20.731.85.06.379.712,404435504812803+2201
Magic JohnsonMagic Johnson2897,4712,3923,54639.225.98.312.38.916.454.60.61.734.17.48.586.911,329650
Kevin DurantKevin Durant2677,9422,3121,75238.229.78.76.61.21.23.310.119.551.82.35.540.97.38.288.710,190311331892540+2268
Charles BarkleyCharles Barkley2667,2053,5151,73940.727.113.26.52.01.03.59.616.857.30.72.528.67.19.574.710,838521257937810+235
Dwyane WadeDwyane Wade2426,9911,6791,84638.728.96.97.61.81.03.610.420.550.60.62.031.37.59.678.39,360444254867584+1810
Chris WebberChris Webber2305,9982,5241,53741.226.111.06.71.71.73.010.921.151.60.41.234.23.95.768.69,478391382693777+1207
Gary PaytonGary Payton2265,6871,5121,99241.525.26.78.82.10.32.69.820.348.21.54.434.74.15.574.29,38147258583558+984
Scottie PippenScottie Pippen2235,5601,9351,56439.524.98.77.02.51.03.09.718.353.11.23.239.24.25.773.28,809560232680666+485
Stephen CurryStephen Curry2206,4521,4601,67236.229.36.67.61.80.33.310.020.049.84.710.145.94.85.390.87,96940260723512+2196
Chris PaulChris Paul2205,6231,4212,20437.725.66.510.02.40.22.59.016.953.02.04.444.45.76.487.78,29352339558582+1545
Tracy McGradyTracy McGrady2186,5651,6871,53841.230.17.77.11.61.02.911.023.945.91.95.336.16.28.176.78,977352209633434+1220
Paul PiercePaul Pierce1945,2831,5751,25340.427.28.16.51.60.73.18.818.746.72.05.239.27.79.580.77,843304129594570+1016
Grant HillGrant Hill1935,0351,7701,36240.626.19.27.11.60.63.49.518.052.50.20.629.67.09.275.87,833303124655507+656
Giannis AntetokounmpoGiannis Antetokounmpo1925,6182,2991,37835.429.312.07.21.51.53.310.718.557.50.82.929.07.19.872.56,795292282633570+1594
Allen IversonAllen Iverson1885,9221,1691,46143.431.56.27.82.40.23.910.824.544.01.64.436.28.310.678.68,16344542726368+936
Damian LillardDamian Lillard1825,3041,1501,40437.729.16.37.71.10.33.09.520.645.93.69.139.86.67.489.76,86920556540355+968
Blake GriffinBlake Griffin1804,6751,7511,16136.426.09.76.50.90.52.69.718.353.20.92.436.95.77.971.86,54816195459526+1464
StatMuse has game-level data for assists and rebounds going back to the 1982-83 season.