Babe Ruth had the most games when scoring 2+ runs, with 551 games.

Interpreted as:

most regular-season games by a player with 2 or more runs a game

	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	551	1,244	1,970	1,039	172	63	413	997	639	16	201	44		2,647	2,576	648	22				.527	.645	1.308	1.953
2	Rickey Henderson R. Henderson	537	1,180	1,976	931	171	30	147	391	611	28	222	488	52	2,627	1,603	348	1	11	7	26	.471	.598	.811	1.409
3	Barry Bonds B. Bonds	520	1,144	1,793	960	192	29	384	806	596	19	190	148	13	2,417	2,362	605	0	9	144	23	.535	.652	1.317	1.969
4	Alex Rodriguez A. Rodriguez	473	1,060	1,887	984	158	11	347	793	347	42	263	95	11	2,296	2,205	516	3	17	20	30	.521	.599	1.169	1.767
5	Lou Gehrig L. Gehrig	469	1,068	1,876	980	191	68	281	871	411	10	110	43		2,319	2,150	540	22				.522	.610	1.146	1.756
6	Hank Aaron H. Aaron	465	1,007	1,872	966	151	28	343	761	277	10	143	56	8	2,170	2,202	522	3	8	61	34	.516	.578	1.176	1.755
7	Ty Cobb T. Cobb	465	1,056	1,875	1,063	214	98	55		321	24		262		2,266	1,638	367	46				.567	.634	.874	1.508
8	Willie Mays W. Mays	462	1,021	1,839	983	157	43	329	744	315	4	154	84	12	2,170	2,213	529	1	11	42	18	.535	.600	1.203	1.804
9	Ted Williams T. Williams	448	1,000	1,633	867	161	27	261	732	561	5	98	8	0	2,200	1,865	449	0	1	18	27	.531	.651	1.142	1.793
10	Pete Rose P. Rose	432	949	1,812	920	207	40	69	312	313	22	87	55	13	2,161	1,414	316	3	11	31	17	.508	.582	.780	1.362
11	Charlie Gehringer C. Gehringer	432	965	1,810	909	220	61	98	516	314	12	36	63		2,154	1,545	379	18			2	.502	.578	.854	1.432
12	Derek Jeter D. Jeter	429	934	1,825	893	155	24	129	364	262	40	206	105	11	2,141	1,483	308	8	6	8	34	.489	.560	.813	1.373
13	Stan Musial S. Musial	416	927	1,689	920	177	54	221	606	309	13	60	31	0	2,018	1,868	452	2	5	13	33	.545	.616	1.106	1.722
14	Craig Biggio C. Biggio	415	905	1,676	813	188	26	137	368	269	79	172	125	16	2,045	1,464	351	7	14	14	13	.485	.570	.874	1.443
15	Tristram Speaker T. Speaker	411	904	1,611	868	223	84	59		302	22		129		1,975	1,436	366	40				.539	.616	.891	1.507
16	Mel Ott M. Ott	408	916	1,534	798	133	26	259	707	404	15	85	22		1,965	1,760	418	12			3	.520	.623	1.147	1.770
17	Jimmie Foxx J. Foxx	402	914	1,530	823	147	32	284	720	390	6	153	29		1,936	1,886	463	10			11	.538	.633	1.233	1.866
18	Albert Pujols A. Pujols	398	880	1,580	875	170	6	312	738	261	23	118	23	4	1,879	1,993	488	0	15	60	30	.554	.617	1.261	1.878
19	Frank Robinson F. Robinson	383	848	1,443	772	133	24	287	634	262	43	157	46	7	1,760	1,814	444	3	9	47	24	.535	.613	1.257	1.870
20	Eddie Collins E. Collins	380	837	1,393	718	106	62	19		356	17		219		1,822	1,005	187	56				.515	.618	.721	1.339
21	Paul Molitor P. Molitor	365	814	1,545	808	179	38	107	368	234	8	103	126	14	1,804	1,384	324	6	11	23	21	.523	.584	.896	1.480
22	Mickey Mantle M. Mantle	365	802	1,299	664	84	18	239	525	427	3	195	48	5	1,736	1,501	341	1	6	26	10	.511	.631	1.156	1.786
23	Paul Waner P. Waner	363	810	1,503	791	172	77	57	372	251	15	36	37		1,785	1,288	306	16			2	.526	.598	.857	1.454
24	Gary Sheffield G. Sheffield	360	778	1,346	688	118	4	236	559	322	27	116	64	9	1,710	1,522	358	2	13	34	22	.511	.607	1.131	1.738
25	Johnny Damon J. Damon	353	767	1,525	740	152	40	113	354	227	9	124	108	6	1,776	1,311	305	6	9	6	11	.485	.551	.860	1.411