Since 1999-00, Kobe Bryant, Derek Fisher and Robert Horry are tied for the most championships, with 5 championships.

which player has most rings after 1999
BryantFisherHorryJamesGinobiliParkerDuncanO'NealMcCawGreenThompsonCurryGreenMcGeeIguodalaLivingstonHaslemJonesWadeBowenFoxGeorgeShawCookJones5554444433333333333333322
NAMEGPCHAMPSMPGPPGRPGAPGSPGBPGTPGFGMFGAFG%3PM3PA3P%FTMFTAFT%MINPTSREBASTSTLBLKTOVPF+/-
Kobe BryantKobe Bryant1146538.027.05.65.11.50.53.19.421.044.81.54.432.96.77.983.943,58230,8886,4095,8261,7495273,5842,918+3737
Derek FisherDerek Fisher1075526.99.02.12.91.10.11.13.17.839.81.12.937.41.62.083.228,9079,6342,2773,1551,175871,2062,376+3600
Robert HorryRobert Horry648520.65.34.31.70.80.80.91.94.739.50.71.934.10.91.372.713,3303,4592,7701,0955355045831,432+1966
LeBron JamesLeBron James1316438.227.07.47.41.60.83.59.819.550.41.54.434.55.87.973.450,27835,5169,7849,7382,0779874,6172,409+7141
Manu GinobiliManu Ginobili1057425.413.33.53.81.30.32.04.39.744.71.43.836.93.23.982.726,85914,0433,6974,0011,3923192,1162,212+5468
Tony ParkerTony Parker1254430.515.52.75.60.80.12.36.212.649.10.41.332.42.73.675.138,27919,4733,3967,0361,053982,8652,059+5690
Tim DuncanTim Duncan1260433.518.810.73.10.72.12.37.314.450.30.00.119.24.26.169.942,20123,68113,5433,8809252,6882,9562,903+8110
Shaquille O'NealShaquille O'Neal752433.221.610.12.50.52.02.68.514.558.60.00.00.04.68.952.224,93316,2537,5621,8953751,5351,9792,565+3745
Patrick McCawPatrick McCaw199316.93.81.61.40.70.20.61.53.542.00.51.530.50.40.578.53,37376031927013931123233-206
Draymond GreenDraymond Green654328.58.86.95.41.41.02.23.27.343.90.92.731.61.52.171.118,6285,7354,5273,5279116741,4181,825+3711
Klay ThompsonKlay Thompson615333.119.53.52.30.90.51.77.316.045.92.97.041.91.92.384.820,33811,9952,1301,4165613321,0531,313+3676
Stephen CurryStephen Curry777334.324.34.66.51.70.23.18.317.547.73.88.743.33.84.290.826,65618,8763,5955,0821,3081742,4401,879+5117
Danny GreenDanny Green768325.68.93.51.61.00.81.03.27.542.31.94.840.10.70.980.619,6516,8602,6811,2178016037791,355+3425
JaVale McGeeJaVale McGee761317.17.95.20.40.41.51.03.45.957.20.00.117.51.11.959.613,0415,9933,9453243081,1477491,678-781
Andre IguodalaAndre Iguodala1204332.411.55.04.21.40.51.84.19.046.30.92.733.22.33.370.939,04213,8725,9725,0591,7436182,2122,147+2986
Shaun LivingstonShaun Livingston833320.66.32.43.00.70.41.22.65.348.60.00.117.81.11.479.417,1875,2311,9892,4835863111,0341,498+69
Udonis HaslemUdonis Haslem863325.07.66.70.80.50.30.93.16.349.00.00.18.51.41.975.521,5836,5335,7607304222508042,048+498
James JonesJames Jones709315.75.21.80.50.30.30.31.74.240.11.12.740.10.70.984.011,0983,7171,276366226218231930+505
Dwyane WadeDwyane Wade1054333.922.04.75.41.50.83.28.016.748.00.51.829.35.47.176.535,77323,1654,9335,7011,6208853,3262,328+2827
Bruce BowenBruce Bowen781328.56.22.81.30.80.40.72.35.641.11.02.639.60.61.157.122,2524,8802,2029806042975811,705+2699
Rick FoxRick Fox360325.27.93.72.90.80.31.53.07.142.41.02.935.10.81.178.69,0802,8301,3371,03428794524986+1006
Devean GeorgeDevean George630318.55.63.10.90.70.40.72.15.339.20.72.034.30.81.072.111,6823,5361,9755434362304471,270+541
Brian ShawBrian Shaw284316.24.02.62.30.50.20.91.64.138.50.41.432.60.40.675.54,6131,14575165114157258369+217
Quinn CookQuinn Cook188214.16.41.71.60.30.00.72.55.546.11.02.340.80.30.479.52,6511,200314298527135201-164
Damian JonesDamian Jones147213.94.63.00.70.30.70.61.82.767.30.00.126.70.91.369.12,041672447965110281322-306