Alex Rodriguez and Manny Ramirez were tied for the most games with 2+ home runs and when collecting 5+ RBI, with 19 games.

Interpreted as:

most regular-season games by a player with 2 or more home run and 5 or more rbi

	NAME	G	HR	RBI	AB	R	H	2B	3B	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Alex Rodriguez A. Rodriguez	19	41	112	85	57	57	4	0	10	1	6	2	0	99	184	45	1	2	0	0	.671	.694	2.165	2.859
2	Manny Ramirez M. Ramirez	19	39	102	74	45	49	3	0	13	0	9	0	1	88	169	42	0	1	0	0	.662	.705	2.284	2.988
3	Lou Gehrig L. Gehrig	18	40	105	78	52	56	3	4	10	0	2	0		90	187	47	2				.718	.750	2.397	3.147
4	Babe Ruth B. Ruth	18	38	104	82	44	52	7	1	5	0	7	0		88	175	46	1				.634	.655	2.134	2.789
5	Carlos Delgado C. Delgado	17	36	92	72	43	43	5	0	7	3	10	0	0	84	156	41	0	2	2	0	.597	.631	2.167	2.798
6	Dave Kingman D. Kingman	17	38	102	82	41	43	1	0	4	0	13	0	0	88	158	39	0	2	0	1	.524	.534	1.927	2.461
7	Nelson Cruz N. Cruz	16	34	89	74	39	48	6	1	4	0	13	0	0	78	158	41	0	0	1	1	.649	.667	2.135	2.802
8	Mark Teixeira M. Teixeira	16	34	88	75	39	47	6	1	4	1	8	0	0	81	157	41	0	1	0	1	.627	.642	2.093	2.735
9	Cecil Fielder C. Fielder	16	35	86	68	38	41	2	0	7	1	8	0	0	77	148	37	0	1	1	2	.603	.636	2.176	2.813
10	Barry Bonds B. Bonds	16	33	87	69	40	48	2	0	6	0	5	1	0	75	149	35	0	0	2	1	.696	.720	2.159	2.879
11	Albert Pujols A. Pujols	15	33	81	62	38	43	4	0	3	1	6	0	0	66	146	37	0	0	0	1	.694	.712	2.355	3.067
12	Juan Gonzalez J. Gonzalez	15	32	76	66	35	39	2	0	5	0	14	0	0	72	137	34	0	1	2	1	.591	.611	2.076	2.687
13	Gary Sheffield G. Sheffield	15	30	81	67	34	41	4	1	8	0	3	2	0	76	137	35	0	1	1	0	.612	.645	2.045	2.690
14	Sammy Sosa S. Sosa	15	33	82	66	35	42	1	0	3	0	5	1	0	70	142	34	0	1	0	0	.636	.643	2.152	2.794
15	Joe DiMaggio J. DiMaggio	15	32	89	73	43	52	6	2	7	0	1	0	0	81	158	40	1			0	.712	.738	2.164	2.902
16	Mark McGwire M. McGwire	14	32	75	55	38	36	1	0	11	0	7	0	0	67	133	33	0	1	3	2	.655	.701	2.418	3.120
17	Hank Aaron H. Aaron	14	29	75	65	31	38	5	0	1	0	3	0	0	66	130	34	0	0	1	1	.585	.591	2.000	2.591
18	Willie Mays W. Mays	14	31	75	64	34	42	2	0	5	0	4	0	1	69	137	33	0	0	1	1	.656	.681	2.141	2.822
19	Jimmie Foxx J. Foxx	14	30	82	67	41	44	5	0	9	0	3	1		76	139	35	0			0	.657	.697	2.075	2.772
20	Willie Stargell W. Stargell	13	29	71	58	35	41	7	0	6	0	8	1	0	64	135	36	0	0	4	0	.707	.734	2.328	3.062
21	Eddie Mathews E. Mathews	13	26	68	59	31	32	3	0	1	0	6	0	0	62	113	29	0	2	0	0	.542	.532	1.915	2.448
22	Ted Williams T. Williams	13	28	78	61	36	41	1	0	9	0	4	1	0	70	126	29	0	0	0	1	.672	.714	2.066	2.780
23	Mel Ott M. Ott	13	27	72	58	32	36	6	0	6	1	4	0		65	123	33	0			0	.621	.662	2.121	2.782
24	Adam Dunn A. Dunn	12	25	62	47	26	31	2	0	6	0	9	1	0	53	108	27	0	0	2	0	.660	.698	2.298	2.996
25	Andres Galarraga A. Galarraga	12	25	68	53	31	37	2	0	6	1	7	1	1	60	114	27	0	0	1	1	.698	.733	2.151	2.884