Rickey Henderson had the most games with 1+ home run and when stealing 2+ bases, with 21 games.

Interpreted as:

most career regular-season games by a player with 1+ hr and 2+ sb

	NAME	G	HR	SB	AB	R	H	2B	3B	RBI	BB	HBP	SO	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Rickey Henderson R. Henderson	21	21	48	81	45	47	5	1	35	23	1	4	3	106	117	27	0	1	1	0	.580	.670	1.444	2.114
2	Barry Bonds B. Bonds	11	11	22	35	20	23	3	0	18	16	0	1	0	51	59	14	0	0	1	0	.657	.765	1.686	2.450
3	Cesar Cedeno C. Cedeno	9	9	18	33	16	20	1	0	18	8	1	3	2	42	48	10	0	0	0	0	.606	.690	1.455	2.145
4	Eric Davis E. Davis	8	8	16	26	13	15	0	0	21	11	0	3	2	37	39	8	0	0	0	0	.577	.703	1.500	2.203
5	Davey Lopes D. Lopes	8	8	17	28	16	17	1	0	17	10	0	5	0	39	42	9	1	0	1	0	.607	.711	1.500	2.211
6	Joe Morgan J. Morgan	8	9	16	28	11	19	0	0	15	9	0	1	0	37	46	9	0	0	0	0	.679	.757	1.643	2.400
7	Jimmy Rollins J. Rollins	7	7	15	34	9	21	2	1	16	2	0	2	0	36	46	10	0	0	0	0	.618	.639	1.353	1.992
8	Ray Lankford R. Lankford	7	7	14	29	17	18	2	0	18	5	0	5	0	35	41	9	0	1	0	0	.621	.657	1.414	2.071
9	Larry Walker L. Walker	7	7	14	28	10	17	1	0	18	4	1	4	0	33	39	8	0	0	1	0	.607	.667	1.393	2.060
10	Howard Johnson H. Johnson	7	8	14	21	13	14	1	1	14	9	0	3	0	30	41	10	0	0	2	0	.667	.767	1.952	2.719
11	Bobby Bonds B. Bonds	7	7	15	30	14	17	1	0	15	2	0	4	0	32	39	8	0	0	0	1	.567	.594	1.300	1.894
12	Alfonso Soriano A. Soriano	6	6	12	29	13	15	3	0	10	1	1	4	0	32	36	9	1	0	0	0	.517	.548	1.241	1.790
13	Alex Rodriguez A. Rodriguez	6	6	13	23	13	15	1	0	13	5	1	2	0	29	34	7	0	0	0	0	.652	.724	1.478	2.202
14	Kenny Lofton K. Lofton	6	6	17	29	16	16	0	0	10	5	1	2	2	35	34	6	0	0	1	0	.552	.629	1.172	1.801
15	Marquis Grissom M. Grissom	6	6	12	27	11	16	2	1	8	3	0	3	1	31	38	9	1	0	1	0	.593	.633	1.407	2.041
16	Tim Raines T. Raines	6	6	14	27	17	14	1	0	12	6	1	3	0	34	33	7	0	0	0	0	.519	.618	1.222	1.840
17	Shohei Ohtani S. Ohtani	5	7	10	21	12	15	2	0	15	2	0	3	0	23	38	9	0	0	0	0	.714	.739	1.810	2.549
18	Francisco Lindor F. Lindor	5	5	10	21	8	9	1	0	8	5	0	0	0	26	25	6	0	0	0	0	.429	.538	1.190	1.729
19	Trea Turner T. Turner	5	5	10	21	14	14	2	1	11	2	1	3	0	24	33	8	0	0	0	0	.667	.708	1.571	2.280
20	Vladimir Guerrero V. Guerrero	5	5	10	18	7	10	0	0	8	5	1	2	1	24	25	5	0	0	3	0	.556	.667	1.389	2.056
21	Jose Canseco J. Canseco	5	5	11	22	10	13	0	0	12	3	0	2	2	25	28	5	0	0	0	0	.591	.640	1.273	1.913
22	Darryl Strawberry D. Strawberry	5	5	11	20	10	11	0	0	12	4	0	4	0	24	26	5	0	0	1	0	.550	.625	1.300	1.925
23	Dave Concepcion D. Concepcion	5	5	11	19	9	13	2	0	12	5	0	1	0	24	30	7	0	0	0	0	.684	.750	1.579	2.329
24	Reggie Jackson R. Jackson	5	5	10	18	7	12	0	0	8	4	0	2	0	22	27	5	0	0	1	0	.667	.727	1.500	2.227
25	Willie Mays W. Mays	5	5	13	22	11	15	1	0	11	3	0	1	0	25	31	6	0	0	0	0	.682	.720	1.409	2.129