Pete Rose had the most games with 2+ hits, with 1,225 games.

Interpreted as:

Most regular-season games with 2+ hits runs rbis by a player

	NAME	G	H	R	RBI	AB	2B	3B	HR	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Pete Rose P. Rose	1,225	2,920	1,225	855	5,434	513	99	117	424	28	293	98	80	5,922	3,982	729	14	22	62	64	.537	.571	.733	1.304
2	Stan Musial S. Musial	1,059	2,512	1,196	1,266	4,420	499	127	333	448	23	183	37	14	4,917	4,264	959	8	18	24	72	.568	.608	.965	1.572
3	Hank Aaron H. Aaron	1,046	2,427	1,197	1,382	4,409	390	67	470	345	9	336	132	33	4,790	4,361	927	6	21	91	83	.550	.581	.989	1.570
4	Derek Jeter D. Jeter	1,014	2,365	1,135	793	4,519	375	44	170	306	47	531	201	50	4,920	3,338	589	32	16	14	93	.523	.556	.739	1.295
5	Paul Molitor P. Molitor	967	2,293	1,086	833	4,262	421	68	163	306	14	301	268	71	4,642	3,339	652	26	34	33	48	.538	.566	.783	1.350
6	Tony Gwynn T. Gwynn	951	2,254	882	732	4,069	385	56	96	255	8	134	191	76	4,368	3,039	537	9	27	78	68	.554	.577	.747	1.324
7	Albert Pujols A. Pujols	945	2,186	1,110	1,323	3,980	454	14	438	332	34	301	51	15	4,368	3,982	906	0	22	90	90	.549	.584	1.001	1.585
8	Paul Waner P. Waner	939	2,227	1,028	844	4,055	430	148	82	334	11	116	59		4,451	3,199	660	51			10	.549	.585	.789	1.373
9	Eddie Murray E. Murray	934	2,127	916	1,127	3,863	380	23	301	331	4	333	52	22	4,230	3,456	704	0	32	66	61	.551	.582	.895	1.477
10	Willie Mays W. Mays	922	2,152	1,183	1,158	3,867	333	106	429	347	7	308	172	45	4,247	3,984	868	0	26	45	43	.557	.590	1.030	1.620
11	Carl Yastrzemski C. Yastrzemski	911	2,115	940	1,045	3,727	406	32	288	372	7	261	73	34	4,130	3,449	726	9	15	47	57	.567	.605	.925	1.531
12	Ichiro Suzuki I. Suzuki	909	2,137	910	478	4,053	249	66	86	243	19	293	332	73	4,336	2,776	401	11	10	77	21	.527	.555	.685	1.240
13	George Brett G. Brett	903	2,137	918	932	3,826	450	98	198	298	6	215	125	56	4,158	3,377	746	4	24	66	56	.559	.588	.883	1.470
14	Miguel Cabrera M. Cabrera	897	2,097	926	1,210	3,700	415	10	356	330	21	460	18	14	4,081	3,600	781	2	28	73	73	.567	.600	.973	1.573
15	Rod Carew R. Carew	896	2,161	885	668	3,954	326	76	61	305	6	280	206	113	4,316	2,822	463	35	16	51	66	.547	.577	.714	1.291
16	Wade Boggs W. Boggs	885	2,121	916	646	3,775	409	42	80	451	5	214	20	14	4,279	2,854	531	13	35	66	56	.562	.604	.756	1.360
17	Robin Yount R. Yount	879	2,012	894	819	3,742	381	85	164	225	8	282	134	44	4,031	3,055	630	23	33	29	51	.538	.560	.816	1.377
18	Roberto Clemente R. Clemente	876	2,095	895	824	3,826	304	126	155	186	6	330	49	22	4,045	3,116	585	7	20	43	64	.548	.566	.814	1.381
19	Al Simmons A. Simmons	874	2,111	990	1,251	3,866	384	102	222	202	13	199	55		4,118	3,365	708	37			2	.546	.570	.870	1.440
20	Adrian Beltre A. Beltre	872	2,012	859	1,001	3,637	401	28	300	212	22	340	56	20	3,892	3,369	729	0	21	29	53	.553	.577	.926	1.503
21	Lou Brock L. Brock	872	2,025	934	529	3,889	320	97	95	214	13	432	509	168	4,143	2,824	512	13	14	42	31	.521	.545	.726	1.271
22	Alex Rodriguez A. Rodriguez	870	2,030	1,151	1,263	3,688	356	22	448	343	50	476	161	37	4,108	3,774	826	3	24	28	59	.550	.590	1.023	1.614
23	Dave Winfield D. Winfield	850	1,954	916	1,044	3,586	324	49	305	275	8	344	109	42	3,887	3,291	678	6	12	53	66	.545	.576	.918	1.494
24	Cal Ripken Jr. C. Ripken Jr.	845	1,957	854	921	3,617	379	21	258	225	11	263	14	17	3,878	3,152	658	0	25	26	76	.541	.565	.871	1.437
25	Craig Biggio C. Biggio	841	1,943	969	694	3,642	427	37	180	280	69	391	184	58	4,043	2,984	644	26	26	17	29	.533	.571	.819	1.390

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StatMuse has game-level data for RBIs going back to the 1920 season.

Some of the information used here was obtained free of charge from Retrosheet.

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Fri 4/17	CIN	@	MIN	8:10 PM
Sat 4/18	CIN	@	MIN	2:10 PM
Sun 4/19	CIN	@	MIN	2:10 PM
Mon 4/20	CIN	@	TBR	6:40 PM
Tue 4/21	CIN	@	TBR	6:40 PM

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Braves	12	7	.632
Marlins	9	10	.474	3.0
Nationals	9	10	.474	3.0
Phillies	8	10	.444	3.5
Mets	7	12	.368	5.0
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Reds	11	8	.579
Pirates	11	8	.579
Brewers	10	8	.556	0.5
Cardinals	10	8	.556	0.5
Cubs	9	9	.500	1.5
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Dodgers	14	4	.778
Padres	13	6	.684	1.5
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Rays	11	7	.611
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Orioles	9	10	.474	2.5
Red Sox	7	11	.389	4.0
Blue Jays	7	11	.389	4.0
AL Central	W	L	PCT	GB
Twins	11	8	.579
Guardians	11	9	.550	0.5
Tigers	10	9	.526	1.0
Royals	7	12	.368	4.0
White Sox	6	13	.316	5.0
AL West	W	L	PCT	GB
Athletics	10	9	.526
Rangers	10	9	.526
Angels	10	10	.500	0.5
Astros	8	12	.400	2.5
Mariners	8	12	.400	2.5