Rickey Henderson had the most games when stealing 3+ bases, with 71 games.

Interpreted as:

MLB player with most regular-season games with 3 or more sb

	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	Rickey Henderson R. Henderson	71	233	242	127	123	14	0	4	44	101	4	18	10	350	149	18	1	2	3	1	.508	.653	.616	1.269
2	Vince Coleman V. Coleman	43	139	156	57	74	6	3	1	13	41	2	17	9	202	89	10	3	0	0	3	.474	.588	.571	1.158
3	Ty Cobb T. Cobb	34	108	142	58	79	7	3	1		22	3			169	95	11	2				.556	.623	.669	1.292
4	Tim Raines T. Raines	29	92	118	40	64	6	1	2	12	24	1	10	1	145	78	9	1	1	5	0	.542	.618	.661	1.279
5	Lou Brock L. Brock	22	69	84	41	47	6	2	1	7	18	2	8	3	104	60	9	0	0	2	0	.560	.644	.714	1.359
6	Otis Nixon O. Nixon	21	68	80	39	42	2	0	0	2	18	0	7	0	99	44	2	1	0	0	0	.525	.612	.550	1.162
7	Eddie Collins E. Collins	21	71	85	36	51	6	0	0		15	2	4		108	57	6	6				.600	.667	.671	1.337
8	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
9	Kenny Lofton K. Lofton	19	62	71	27	36	4	1	2	5	22	0	4	0	94	48	7	1	0	1	0	.507	.624	.676	1.300
10	Max Carey M. Carey	19	61	69	40	40	3	2	0	12	24	3	2		96	47	5	0				.580	.698	.681	1.379
11	Maury Wills M. Wills	18	55	77	35	50	1	0	1	6	8	1	4	4	87	54	2	1	0	0	1	.649	.686	.701	1.387
12	Davey Lopes D. Lopes	17	57	58	22	25	2	0	1	6	22	1	4	5	81	30	3	0	0	0	0	.431	.593	.517	1.110
13	Bob Bescher B. Bescher	17	53	64	26	28	3	0	0		17	1	5		82	31	3	0				.438	.561	.484	1.045
14	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
15	Ron LeFlore R. LeFlore	14	45	59	23	32	2	1	0	6	9	0	8	2	69	36	3	0	1	0	1	.542	.594	.610	1.204
16	Clyde Milan C. Milan	14	44	50	23	24	3	0	0	7	13	0			64	27	3	1				.480	.587	.540	1.127
17	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
18	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
19	Bert Campaneris B. Campaneris	13	41	56	21	26	0	0	2	13	7	2	8	1	66	32	2	1	0	0	0	.464	.538	.571	1.110
20	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
21	Tony Womack T. Womack	11	37	49	14	25	3	0	0	4	6	0	4	0	55	28	3	0	0	0	0	.510	.564	.571	1.135
22	Luis Castillo L. Castillo	11	34	46	15	26	0	0	0	2	9	0	5	0	55	26	0	0	0	1	0	.565	.636	.565	1.202
23	Eric Davis E. Davis	11	34	41	10	16	0	0	0	1	13	0	7	0	54	16	0	0	0	1	0	.390	.537	.390	.927
24	Bill North B. North	11	33	37	14	20	1	0	0	1	12	0	2	3	50	21	1	1	0	1	0	.541	.653	.568	1.221
25	Joe Morgan J. Morgan	11	34	35	14	18	4	1	0	9	13	0	1	1	50	24	5	0	2	0	1	.514	.620	.686	1.306