Hank Aaron had the most games when collecting 4+ total bases, with 840 games.

Interpreted as:

most regular-season games by a player with 4+ total base

	NAME	G	TB	AB	R	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Hank Aaron H. Aaron	840	4,306	3,431	1,190	1,676	231	67	755	1,592	335	11	289	69	18	3,805	1,053	2	26	75	56	.488	.532	1.255	1.787
2	Barry Bonds B. Bonds	805	4,145	2,937	1,226	1,498	257	52	762	1,455	638	23	323	144	34	3,621	1,071	0	23	169	45	.510	.596	1.411	2.008
3	Babe Ruth B. Ruth	761	4,082	2,865	1,246	1,518	242	90	714	1,581	624	6	306	45		3,527	1,046	32				.530	.615	1.425	2.039
4	Albert Pujols A. Pujols	759	3,925	3,093	1,091	1,512	276	14	703	1,437	302	28	286	32	11	3,446	993	0	23	92	81	.489	.535	1.269	1.804
5	Willie Mays W. Mays	755	3,951	3,061	1,117	1,542	217	106	660	1,336	317	10	257	96	36	3,408	983	2	18	41	46	.504	.549	1.291	1.839
6	Alex Rodriguez A. Rodriguez	733	3,829	3,010	1,133	1,475	222	22	696	1,433	336	41	471	92	19	3,416	940	2	27	33	61	.490	.542	1.272	1.815
7	Stan Musial S. Musial	679	3,553	2,808	958	1,554	320	127	475	1,178	324	14	109	26	4	3,162	922	2	14	20	50	.553	.599	1.265	1.864
8	Ken Griffey Jr. K. Griffey Jr.	663	3,402	2,662	923	1,253	207	26	630	1,282	327	24	347	44	16	3,034	863	2	19	77	35	.471	.529	1.278	1.807
9	Rafael Palmeiro R. Palmeiro	659	3,285	2,634	872	1,282	236	30	569	1,179	300	17	263	23	6	2,975	835	1	23	37	46	.487	.538	1.247	1.785
10	Frank Robinson F. Robinson	640	3,310	2,531	948	1,269	191	46	586	1,193	295	39	275	53	13	2,890	823	5	20	50	49	.501	.556	1.308	1.863
11	Lou Gehrig L. Gehrig	615	3,306	2,514	1,008	1,353	240	117	493	1,299	384	10	160	32		2,930	850	22				.538	.601	1.315	1.916
12	Ted Williams T. Williams	614	3,141	2,311	925	1,248	234	48	521	1,225	521	10	149	3	2	2,845	803	0	3	26	40	.540	.625	1.359	1.984
13	Jim Thome J. Thome	611	3,108	2,267	888	1,075	167	15	612	1,161	404	9	551	4	6	2,691	794	0	11	57	28	.474	.553	1.371	1.924
14	Sammy Sosa S. Sosa	605	3,220	2,472	873	1,170	161	31	609	1,216	242	8	482	44	33	2,738	801	2	14	43	42	.473	.519	1.303	1.822
15	Reggie Jackson R. Jackson	599	3,015	2,343	792	1,096	182	24	563	1,135	264	20	428	42	20	2,638	769	3	8	25	31	.468	.524	1.287	1.811
16	David Ortiz D. Ortiz	594	3,081	2,348	809	1,173	261	12	541	1,156	303	12	309	1	0	2,683	814	0	20	64	48	.500	.555	1.312	1.867
17	Jimmie Foxx J. Foxx	592	3,161	2,329	915	1,218	193	74	534	1,242	374	3	265	23		2,721	801	15			12	.523	.589	1.357	1.947
18	Manny Ramirez M. Ramirez	591	3,117	2,293	866	1,200	222	15	555	1,222	307	19	367	13	9	2,648	792	1	28	50	43	.523	.577	1.359	1.936
19	Eddie Murray E. Murray	584	2,925	2,383	769	1,168	199	23	504	1,099	235	3	226	21	9	2,635	726	1	13	37	42	.490	.534	1.227	1.761
20	Mel Ott M. Ott	581	2,987	2,271	884	1,160	196	49	511	1,160	356	10	153	21		2,648	756	11			3	.511	.579	1.315	1.894
21	Miguel Cabrera M. Cabrera	576	3,064	2,351	812	1,248	263	10	511	1,128	228	11	311	5	8	2,611	784	0	21	59	59	.531	.570	1.303	1.873
22	Adrian Beltre A. Beltre	573	2,920	2,350	746	1,191	242	28	477	1,021	143	10	248	26	6	2,515	747	1	11	24	35	.507	.535	1.243	1.777
23	Carl Yastrzemski C. Yastrzemski	568	2,858	2,256	771	1,200	238	32	452	1,009	281	8	176	43	15	2,565	722	5	15	40	42	.532	.582	1.267	1.848
24	Mike Schmidt M. Schmidt	567	2,882	2,163	794	1,010	158	35	548	1,091	326	19	324	38	21	2,528	741	2	18	53	35	.467	.536	1.332	1.869
25	Harmon Killebrew H. Killebrew	567	2,781	2,100	750	952	86	12	573	1,116	340	14	317	3	6	2,467	671	0	13	34	57	.453	.529	1.324	1.854