Since 2000, Billy Hamilton has the most games when stealing 3+ bases, with 19 games.

Interpreted as:

most regular-season games by a player with 3+ sb, since 2000

	NAME	G	SB	AB	R	H	2B	3B	HR	RBI	BB	HBP	SO	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Billy Hamilton B. Hamilton	19	62	74	29	42	6	0	0	4	20	0	13	2	96	48	6	2	0	0	0	.568	.660	.649	1.308
2	Dee Gordon D. Gordon	14	45	56	21	28	3	1	0	5	11	0	5	1	67	33	4	0	0	0	0	.500	.582	.589	1.171
3	Rajai Davis R. Davis	13	41	45	20	21	1	1	0	1	10	1	5	1	56	24	2	0	0	0	0	.467	.571	.533	1.105
4	Ichiro Suzuki I. Suzuki	13	42	58	16	30	1	1	0	2	5	0	2	0	63	33	2	0	0	1	0	.517	.556	.569	1.125
5	Juan Pierre J. Pierre	12	37	50	22	31	2	1	0	6	9	1	3	1	60	35	3	0	0	0	0	.620	.683	.700	1.383
6	Jose Reyes J. Reyes	10	30	40	11	23	1	0	1	5	5	0	2	1	46	27	2	1	0	0	0	.575	.622	.675	1.297
7	Carl Crawford C. Crawford	9	31	35	17	23	0	0	1	7	5	2	2	0	42	26	1	0	0	0	0	.657	.714	.743	1.457
8	Luis Castillo L. Castillo	9	28	36	12	22	0	0	0	2	9	0	3	0	45	22	0	0	0	1	0	.611	.689	.611	1.300
9	Scott Podsednik S. Podsednik	8	28	30	13	15	1	0	0	1	10	0	4	1	41	16	1	0	1	0	1	.500	.610	.533	1.143
10	CJ Abrams	7	21	25	12	14	1	1	1	2	7	3	5	2	35	20	3	0	0	0	0	.560	.686	.800	1.486
11	Whit Merrifield W. Merrifield	6	18	22	7	11	5	0	0	2	3	0	2	0	25	16	5	0	0	0	1	.500	.560	.727	1.287
12	Jonathan Villar J. Villar	6	18	25	9	11	3	0	1	6	6	0	7	0	32	17	4	0	1	0	0	.440	.531	.680	1.211
13	Elvis Andrus E. Andrus	6	19	20	9	11	1	1	0	0	5	2	3	1	27	14	2	0	0	0	0	.550	.667	.700	1.367
14	Jacoby Ellsbury J. Ellsbury	6	21	26	6	11	2	1	0	0	5	2	5	0	33	15	3	0	0	0	0	.423	.545	.577	1.122
15	Chone Figgins C. Figgins	6	18	24	9	13	0	0	1	5	5	0	4	0	30	16	1	0	1	0	0	.542	.600	.667	1.267
16	Tony Womack T. Womack	6	21	26	7	10	0	0	0	2	4	0	2	0	30	10	0	0	0	0	0	.385	.467	.385	.851
17	Elly De La Cruz E. De La Cruz	5	17	22	8	14	2	0	1	6	1	0	3	1	23	19	3	0	0	0	0	.636	.652	.864	1.516
18	Michael Bourn M. Bourn	5	15	15	9	7	0	0	0	0	8	0	1	0	23	7	0	0	0	0	0	.467	.652	.467	1.119
19	Willy Taveras W. Taveras	5	17	17	5	9	2	0	0	1	7	0	1	0	24	11	2	0	0	0	0	.529	.667	.647	1.314
20	Ryan Freel R. Freel	5	17	18	11	6	1	0	0	0	7	1	4	0	26	7	1	0	0	0	0	.333	.538	.389	.927
21	Rafael Furcal R. Furcal	5	16	22	9	11	2	0	0	1	4	0	0	0	26	13	2	0	0	0	0	.500	.577	.591	1.168
22	Coco Crisp C. Crisp	5	16	18	8	13	3	0	0	1	5	0	1	0	23	16	3	0	0	0	0	.722	.783	.889	1.671
23	Corbin Carroll C. Carroll	4	12	14	4	4	0	0	0	2	4	0	4	0	18	4	0	0	0	0	1	.286	.444	.286	.730
24	Trea Turner T. Turner	4	14	15	4	8	0	0	0	0	3	0	3	0	18	8	0	0	0	0	0	.533	.611	.533	1.144
25	José Ramírez J. Ramírez	4	12	13	10	7	1	0	1	4	6	0	2	0	19	11	2	0	0	1	0	.538	.684	.846	1.530