Since 1999-00, the Boston Celtics have the most games by a team in the playoffs, with 259 games.

most playoff games by team since 2000 nba

TEAM	GP	MPG	PPG	RPG	APG	SPG	BPG	TPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	MIN	PTS	REB	AST	STL	BLK	TOV	PF
Boston Celtics	259	242.4	98.9	41.5	21.8	7.3	4.9	13.8	35.6	80.3	44.4	9.1	26.0	35.2	18.5	23.4	78.8	62,785	25,608	10,759	5,641	1,882	1,268	3,575	5,710
San Antonio Spurs	258	241.8	98.1	42.1	20.2	7.0	5.2	13.3	36.2	79.1	45.7	7.1	19.1	37.2	18.6	25.2	73.9	62,395	25,301	10,865	5,203	1,794	1,330	3,425	5,388
Miami Heat	253	241.7	97.5	40.3	19.4	7.1	4.7	13.6	35.4	77.4	45.7	8.2	23.1	35.4	18.6	24.8	74.9	61,145	24,657	10,186	4,905	1,799	1,197	3,452	5,548
Los Angeles Lakers	242	241.2	100.5	43.1	21.1	7.1	5.6	13.3	37.1	81.0	45.8	7.0	20.6	34.2	19.3	26.8	71.9	58,380	24,329	10,419	5,103	1,721	1,352	3,220	5,448
Dallas Mavericks	181	241.4	101.6	41.5	18.7	6.7	4.3	12.5	36.5	82.1	44.4	8.6	23.5	36.4	20.0	25.2	79.3	43,690	18,383	7,511	3,390	1,216	778	2,263	4,123
Golden State Warriors	170	241.6	110.0	44.2	25.5	7.9	5.4	14.5	40.2	85.9	46.8	12.1	32.5	37.2	17.5	23.0	76.4	41,075	18,693	7,522	4,330	1,338	923	2,463	3,820
Cleveland Cavaliers	159	241.6	99.1	42.5	19.5	6.8	4.7	13.3	35.5	79.1	44.9	8.9	24.9	35.8	19.1	25.7	74.2	38,410	15,749	6,756	3,097	1,074	751	2,112	3,295
Indiana Pacers	155	241.1	92.4	41.4	19.0	7.0	4.9	14.1	33.3	77.0	43.2	7.0	19.9	35.2	18.9	24.6	76.6	37,375	14,325	6,420	2,947	1,080	757	2,187	3,493
Philadelphia 76ers	148	241.4	97.6	42.7	20.6	7.3	4.6	13.4	35.5	80.8	43.9	7.0	20.3	34.6	19.6	25.6	76.4	35,720	14,439	6,326	3,047	1,083	676	1,987	3,145
Detroit Pistons	141	241.8	89.4	40.1	19.5	7.2	5.4	13.1	32.4	76.2	42.6	5.7	16.7	34.1	18.9	25.3	74.5	34,090	12,609	5,649	2,744	1,015	767	1,848	3,140
Oklahoma City Thunder	136	242.2	101.0	43.8	18.5	7.0	6.0	13.9	36.2	81.7	44.4	7.5	22.5	33.5	21.0	26.3	79.7	32,940	13,732	5,952	2,511	956	813	1,889	3,095
Milwaukee Bucks	136	242.0	101.9	44.6	22.0	7.1	4.9	13.4	38.0	84.7	44.9	9.3	27.1	34.4	16.6	22.4	74.0	32,915	13,863	6,072	2,995	967	673	1,818	2,921
Denver Nuggets	134	241.7	105.3	42.9	22.3	7.0	4.4	12.5	38.5	84.6	45.5	8.9	25.0	35.5	19.5	25.4	76.7	32,385	14,104	5,746	2,989	933	591	1,674	3,042
Phoenix Suns	134	241.5	105.1	40.9	22.2	6.5	4.9	12.9	39.3	83.4	47.1	8.6	23.1	37.1	17.9	22.9	78.3	32,360	14,077	5,483	2,980	876	663	1,732	2,951
Brooklyn Nets	132	242.8	97.1	41.5	21.3	7.2	4.1	14.2	35.3	80.2	44.0	7.3	21.6	33.7	19.3	25.5	75.5	32,055	12,811	5,481	2,818	951	546	1,869	3,083
Houston Rockets	123	241.4	101.3	42.8	18.9	7.5	4.7	14.4	35.8	82.0	43.6	10.6	31.2	34.1	19.1	26.0	73.6	29,695	12,456	5,267	2,325	928	581	1,768	2,690
Utah Jazz	123	240.6	99.7	42.7	21.5	6.8	4.7	14.0	36.1	80.5	44.9	7.8	21.8	35.7	19.7	26.4	74.6	29,595	12,267	5,252	2,639	838	580	1,727	2,876
Toronto Raptors	123	242.0	98.9	40.7	20.5	7.3	4.5	13.0	35.9	81.9	43.9	8.7	25.7	34.0	18.3	23.2	78.9	29,770	12,164	5,007	2,516	904	555	1,602	2,770
Atlanta Hawks	121	240.8	95.3	40.7	19.7	6.8	4.7	13.3	34.9	81.3	42.9	8.3	24.8	33.4	17.2	22.3	77.3	29,140	11,526	4,928	2,388	817	563	1,608	2,496
L.A. Clippers	114	241.1	106.2	41.6	20.9	7.5	4.7	12.9	38.6	82.7	46.7	9.3	25.9	35.9	19.7	26.2	75.1	27,485	12,103	4,745	2,379	853	538	1,474	2,621
Portland Trail Blazers	109	242.5	100.4	42.2	19.1	6.4	4.7	13.0	36.1	83.0	43.5	8.8	24.4	36.2	19.3	24.9	77.8	26,435	10,944	4,605	2,083	702	509	1,421	2,507
Memphis Grizzlies	98	244.1	97.9	41.9	19.9	7.7	4.5	12.6	36.1	83.9	43.0	6.6	19.7	33.3	19.2	25.1	76.4	23,920	9,598	4,107	1,954	753	441	1,230	2,163
Chicago Bulls	96	243.6	95.0	43.4	20.6	6.6	5.4	14.3	34.9	81.7	42.8	6.8	20.0	34.2	18.3	24.0	76.0	23,390	9,118	4,167	1,973	636	516	1,368	2,101
Orlando Magic	90	242.2	94.6	40.4	18.2	6.3	4.6	13.8	33.7	76.6	43.9	8.3	24.3	34.1	19.0	26.3	72.1	21,800	8,516	3,635	1,634	564	418	1,239	2,016
Washington Wizards	71	241.8	100.5	42.5	20.3	7.3	5.5	13.2	36.7	83.0	44.2	7.1	21.4	33.1	20.0	26.6	75.2	17,165	7,136	3,015	1,440	515	388	936	1,602