most games under 804 with at least 2 hits all-time

Lou Gehrig had the most games with 2+ hits with <804 games played, with 798 games.

Interpreted as:

most regular-season games under 804 with at least 2 hits by a player all-time

	NAME	G	H	AB	R	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Lou Gehrig L. Gehrig	798	1,903	3,340	1,120	367	117	341	1,313	459	12	189	51		3,844	3,527	825	33			0	.570	.623	1.056	1.679
2	Omar Vizquel O. Vizquel	793	1,803	3,380	752	291	53	51	553	218	10	227	213	79	3,690	2,353	395	57	25	3	45	.533	.559	.696	1.255
3	Vada Pinson V. Pinson	789	1,833	3,455	776	315	87	158	710	171	20	289	159	66	3,670	2,796	560	10	14	30	37	.531	.553	.809	1.362
4	Luke Appling L. Appling	784	1,833	3,274	731	303	66	30	687	310	2	98	78		3,607	2,358	399	21			32	.560	.598	.720	1.318
5	Goose Goslin G. Goslin	784	1,856	3,392	858	339	118	168	1,021	251	18	139	113		3,702	2,935	625	41				.547	.580	.865	1.446
6	Barry Bonds B. Bonds	782	1,778	3,056	1,077	359	52	454	1,151	537	20	305	204	62	3,633	3,603	865	0	20	157	36	.582	.643	1.179	1.822
7	Harold Baines H. Baines	781	1,805	3,213	698	320	28	245	950	230	5	277	15	20	3,473	2,916	593	0	25	42	54	.562	.587	.908	1.495
8	Al Oliver A. Oliver	778	1,827	3,366	729	343	53	157	822	168	17	193	51	32	3,575	2,747	553	5	19	37	59	.543	.564	.816	1.380
9	Robinson Cano R. Cano	776	1,781	3,282	759	383	20	235	859	187	15	273	25	21	3,503	2,909	638	3	16	41	69	.543	.567	.886	1.453
10	Johnny Damon J. Damon	770	1,812	3,457	913	341	75	151	683	242	8	271	195	50	3,738	2,756	567	13	18	12	24	.524	.554	.797	1.351
11	Andre Dawson A. Dawson	766	1,769	3,273	784	333	64	286	905	146	25	305	128	60	3,469	3,088	683	5	20	48	46	.540	.560	.943	1.504
12	Chipper Jones C. Jones	763	1,746	3,136	897	351	27	316	959	381	4	296	81	19	3,540	3,099	694	1	18	59	58	.557	.602	.988	1.590
13	Roberto Alomar R. Alomar	761	1,758	3,256	825	322	60	148	707	282	10	267	240	63	3,613	2,644	530	36	29	23	48	.540	.573	.812	1.385
14	Vladimir Guerrero V. Guerrero	759	1,743	3,153	818	321	27	323	971	197	28	258	94	46	3,399	3,087	671	0	21	73	70	.553	.579	.979	1.558
15	Dave Parker D. Parker	757	1,727	3,204	735	331	54	222	914	191	15	331	72	56	3,431	2,832	607	0	21	53	63	.539	.563	.884	1.447
16	Ted Williams T. Williams	756	1,777	3,001	962	365	48	313	1,120	549	9	183	12	1	3,566	3,177	726	3	4	24	46	.592	.655	1.059	1.714
17	Harry Heilmann H. Heilmann	756	1,827	3,144	780	387	112	136		259	14	135	55		3,488	2,846	635	71				.581	.615	.905	1.520
18	Ken Griffey Jr. K. Griffey Jr.	754	1,730	3,189	879	337	26	371	1,033	305	16	361	82	28	3,529	3,232	734	0	19	76	39	.542	.581	1.013	1.595
19	Billy Williams B. Williams	754	1,740	3,175	803	274	60	274	887	271	13	226	41	22	3,480	2,956	608	0	21	53	34	.548	.582	.931	1.513
20	Nellie Fox N. Fox	753	1,777	3,343	733	241	73	31	495	179	38	53	41	40	3,631	2,257	345	56	15	8	43	.532	.558	.675	1.233
21	Bill Buckner B. Buckner	752	1,763	3,348	664	334	35	127	711	104	9	97	106	43	3,495	2,548	496	10	24	22	65	.527	.538	.761	1.299
22	Brooks Robinson B. Robinson	745	1,703	3,136	641	295	44	160	749	162	8	169	14	10	3,353	2,566	499	21	26	19	58	.543	.562	.818	1.380
23	Heinie Manush H. Manush	744	1,808	3,343	810	346	113	81	773	145	23	105	75		3,570	2,623	540	59				.541	.563	.785	1.347
24	Tony Perez T. Perez	741	1,671	3,072	722	310	42	246	955	202	15	357	25	17	3,316	2,803	598	2	25	41	54	.544	.570	.912	1.482
25	Richie Ashburn R. Ashburn	741	1,739	3,234	717	205	69	19	340	334	9	142	126	42	3,621	2,139	293	41	3	6	18	.538	.582	.661	1.243