Babe Ruth had the most games when scoring 3+ runs, with 130 games.

Interpreted as:

most career 3 or more run regular-season games by a player

	NAME	G	R	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Babe Ruth B. Ruth	130	402	498	313	57	21	130	293	150	2	38	9		656	802	208	6				.629	.715	1.610	2.326
2	Ty Cobb T. Cobb	110	346	451	310	63	33	21		94	6		85		560	502	117	9				.687	.744	1.113	1.857
3	Lou Gehrig L. Gehrig	109	348	469	310	67	22	101	307	94	2	15	12		572	724	190	7				.661	.719	1.544	2.262
4	Rickey Henderson R. Henderson	97	300	360	220	51	8	37	97	127	6	36	116	17	494	398	96	0	1	0	5	.611	.715	1.106	1.820
5	Alex Rodriguez A. Rodriguez	96	306	396	248	37	4	100	223	86	5	50	24	0	490	593	141	0	3	8	4	.626	.692	1.497	2.189
6	Barry Bonds B. Bonds	93	290	330	222	38	6	99	194	119	1	28	27	1	454	569	143	0	4	30	2	.673	.753	1.724	2.478
7	Ted Williams T. Williams	92	288	336	202	36	6	69	203	147	2	21	3	0	485	457	111	0	0	2	2	.601	.724	1.360	2.084
8	Jimmie Foxx J. Foxx	92	294	356	234	53	9	80	205	120	2	20	10		480	545	142	2			3	.657	.745	1.531	2.276
9	Charlie Gehringer C. Gehringer	90	281	373	233	65	11	26	149	95	2	3	18		473	398	102	3			0	.625	.702	1.067	1.769
10	Stan Musial S. Musial	86	267	366	234	38	13	71	180	87	1	15	10	0	455	511	122	0	1	1	4	.639	.708	1.396	2.104
11	Willie Mays W. Mays	85	267	346	226	34	14	85	181	73	3	15	20	3	424	543	133	0	2	13	3	.653	.712	1.569	2.282
12	Mel Ott M. Ott	83	266	297	193	36	8	75	194	114	2	12	6		414	470	119	1			0	.650	.748	1.582	2.331
13	Albert Pujols A. Pujols	78	240	321	208	39	1	84	180	61	9	17	6	0	392	501	124	0	1	20	9	.648	.709	1.561	2.270
14	Jeff Bagwell J. Bagwell	78	237	294	184	44	3	68	190	85	11	31	14	1	392	438	115	0	2	10	4	.626	.714	1.490	2.204
15	Frank Robinson F. Robinson	77	236	298	197	41	11	69	162	64	12	22	15	0	376	467	121	0	2	12	6	.661	.726	1.567	2.293
16	Pete Rose P. Rose	76	237	321	193	55	6	17	68	75	0	13	10	1	398	311	78	0	2	8	1	.601	.673	.969	1.642
17	Paul Waner P. Waner	73	230	316	204	46	24	12	105	54	5	9	5		377	334	82	2			0	.646	.701	1.057	1.758
18	Tristram Speaker T. Speaker	73	228	279	184	51	17	8		84	5		23		372	293	76	4				.659	.742	1.050	1.792
19	Paul Molitor P. Molitor	71	226	307	196	42	11	35	112	54	0	16	27	0	362	365	88	1	0	4	0	.638	.693	1.189	1.881
20	Joe DiMaggio J. DiMaggio	71	220	323	198	35	9	60	186	49	4	7	2	0	378	431	104	2			2	.613	.668	1.334	2.002
21	Derek Jeter D. Jeter	69	214	287	180	32	2	19	67	56	7	17	15	1	351	273	53	1	0	1	9	.627	.694	.951	1.646
22	Hank Aaron H. Aaron	68	213	290	174	33	8	65	135	51	5	20	12	0	348	418	106	1	1	14	2	.600	.663	1.441	2.104
23	Mickey Mantle M. Mantle	68	208	252	172	22	5	69	154	93	2	22	12	1	347	411	96	0	0	9	1	.683	.769	1.631	2.400
24	Al Simmons A. Simmons	68	217	325	194	35	12	44	160	30	2	9	5		364	385	91	7			0	.597	.633	1.185	1.818
25	Sam Rice S. Rice	66	206	289	182	36	14	3		52	2	4	27		346	255	53	3				.630	.688	.882	1.570

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StatMuse has game-level data for games going back to the 1908 season.

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

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Tue 4/7	ATH	@	NYY	7:05 PM
Wed 4/8	ATH	@	NYY	7:05 PM
Thu 4/9	ATH	@	NYY	1:35 PM
Fri 4/10	NYY	@	TBR	7:10 PM
Sat 4/11	NYY	@	TBR	6:10 PM

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NL Central	W	L	PCT	GB
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Reds	6	3	.667	1.0
Pirates	6	3	.667	1.0
Cardinals	5	4	.556	2.0
Cubs	4	5	.444	3.0
NL West	W	L	PCT	GB
Dodgers	7	2	.778
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Red Sox	2	7	.222	5.0
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White Sox	4	5	.444	1.5
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Royals	4	5	.444	1.5
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AL West	W	L	PCT	GB
Astros	6	4	.600
Angels	5	5	.500	1.0
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Mariners	4	6	.400	2.0
Athletics	3	6	.333	2.5