Andrew McCutchen has the most games by an active player with 1+ hit, with 1,449 games.

Interpreted as:

most regular-season games with 1 or more hit active players

	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	Andrew McCutchen A. McCutchen	1,449	2,193	5,635	1,132	437	50	322	1,054	738	53	1,047	185	74	6,475	3,696	809	2	47	57	72	.389	.461	.656	1.117
2	Freddie Freeman F. Freeman	1,444	2,325	5,657	1,186	522	32	352	1,226	676	66	1,012	82	27	6,442	3,967	906	0	43	100	98	.411	.476	.701	1.177
3	Jose Altuve J. Altuve	1,384	2,288	5,733	1,119	437	31	237	803	432	56	712	289	83	6,274	3,498	705	18	35	37	133	.399	.444	.610	1.054
4	Paul Goldschmidt P. Goldschmidt	1,359	2,124	5,304	1,117	458	24	367	1,170	675	35	1,167	144	30	6,049	3,731	849	0	35	86	103	.400	.469	.703	1.172
5	Carlos Santana C. Santana	1,297	1,831	4,859	937	398	17	330	1,041	744	21	781	44	11	5,659	3,253	745	0	35	44	91	.377	.459	.669	1.128
6	Manny Machado M. Machado	1,256	1,962	5,114	967	379	18	348	1,036	415	18	818	90	38	5,595	3,421	745	9	39	49	129	.384	.429	.669	1.098
7	Nolan Arenado N. Arenado	1,204	1,872	4,750	904	397	34	347	1,112	377	24	653	26	20	5,202	3,378	778	4	47	52	125	.394	.437	.711	1.148
8	Bryce Harper B. Harper	1,130	1,724	4,309	991	382	24	344	971	643	27	897	122	36	5,026	3,186	750	8	39	77	86	.400	.477	.739	1.216
9	DJ LeMahieu	1,111	1,745	4,436	819	275	39	125	615	369	22	635	83	45	4,882	2,473	439	25	30	13	122	.393	.440	.557	.997
10	Xander Bogaerts X. Bogaerts	1,106	1,737	4,429	840	363	18	189	770	363	38	731	106	20	4,875	2,703	570	3	42	15	94	.392	.439	.610	1.049
11	Nick Castellanos N. Castellanos	1,084	1,662	4,295	722	385	41	237	846	270	33	878	37	19	4,631	2,840	663	0	33	15	88	.387	.424	.661	1.086
12	Salvador Perez S. Perez	1,079	1,617	4,226	629	299	11	277	909	168	50	701	6	1	4,474	2,769	587	0	30	25	107	.383	.410	.655	1.065
13	Mike Trout M. Trout	1,073	1,667	4,086	1,030	312	55	387	937	639	66	916	170	32	4,827	3,250	754	0	36	86	44	.408	.491	.795	1.287
14	Jason Heyward J. Heyward	1,070	1,575	4,074	785	306	41	186	697	403	35	656	91	38	4,539	2,521	533	4	23	17	52	.387	.444	.619	1.063
15	Marcus Semien M. Semien	1,058	1,539	4,299	841	308	35	241	734	399	16	790	108	34	4,741	2,640	584	4	23	6	52	.358	.412	.614	1.027
16	Justin Turner J. Turner	1,048	1,596	3,900	711	349	9	199	773	332	82	571	41	12	4,354	2,560	557	3	37	8	72	.409	.462	.656	1.118
17	Giancarlo Stanton G. Stanton	1,043	1,551	4,039	836	305	11	429	1,070	462	31	1,069	35	11	4,554	3,165	745	0	22	57	82	.384	.449	.784	1.232
18	Mookie Betts M. Betts	1,039	1,667	4,321	1,023	376	40	279	827	480	38	578	160	36	4,874	2,960	695	2	33	25	54	.386	.448	.685	1.134
19	Christian Yelich C. Yelich	1,029	1,632	4,104	885	311	35	214	741	501	26	859	185	32	4,650	2,655	560	3	16	37	71	.398	.465	.647	1.112
20	Marcell Ozuna M. Ozuna	1,028	1,562	4,038	735	267	21	284	863	353	17	843	20	13	4,422	2,723	572	1	13	13	87	.387	.437	.674	1.111
21	José Ramírez J. Ramírez	1,009	1,561	3,967	839	376	41	264	855	377	28	447	203	48	4,420	2,811	681	11	37	66	48	.393	.446	.709	1.155
22	Francisco Lindor F. Lindor	992	1,552	4,100	852	314	26	258	759	340	43	637	159	37	4,538	2,692	598	18	37	26	71	.379	.428	.657	1.085
23	Starling Marte S. Marte	982	1,580	4,039	790	280	55	156	616	219	107	755	317	85	4,383	2,438	491	9	9	13	63	.391	.436	.604	1.039
24	Eugenio Suárez E. Suárez	929	1,345	3,556	698	244	15	291	842	347	49	877	26	13	3,998	2,492	550	4	42	8	70	.378	.436	.701	1.137
25	George Springer G. Springer	900	1,365	3,679	817	234	23	266	703	389	55	755	84	35	4,145	2,443	523	2	20	6	65	.371	.437	.664	1.101