Mike Piazza had the most games by a catcher with 1+ home run, with 361 games.

Interpreted as:

most regular-season games with 1+ hr by a catcher

	NAME	G	HR	AB	R	H	2B	3B	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Mike Piazza M. Piazza	361	397	1,438	517	685	60	1	779	158	1	169	5	6	1,601	1,938	458	0	4	39	28	.476	.527	1.348	1.875
2	Carlton Fisk C. Fisk	328	351	1,247	462	575	41	3	638	119	20	151	17	9	1,397	1,675	395	2	9	16	24	.461	.512	1.343	1.855
3	Johnny Bench J. Bench	307	326	1,189	414	516	45	1	629	128	4	159	8	6	1,339	1,541	372	0	18	28	20	.434	.484	1.296	1.780
4	Yogi Berra Y. Berra	294	308	1,167	406	513	44	6	649	101	11	42	2	7	1,284	1,493	358	0	5	5	21	.440	.487	1.279	1.766
5	Ivan Rodriguez I. Rodriguez	286	305	1,202	410	547	58	8	546	52	6	131	6	10	1,268	1,536	371	2	6	4	41	.455	.478	1.278	1.756
6	Lance Parrish L. Parrish	279	299	1,105	375	477	30	2	535	93	5	166	1	6	1,211	1,408	331	2	6	13	27	.432	.476	1.274	1.750
7	Gary Carter G. Carter	268	297	1,021	363	464	33	3	548	103	7	68	3	5	1,137	1,394	333	0	6	11	13	.454	.505	1.365	1.870
8	Brian McCann B. McCann	257	271	997	332	446	37	1	548	88	10	143	3	0	1,104	1,298	309	1	8	12	32	.447	.493	1.302	1.795
9	Jorge Posada J. Posada	232	248	883	333	427	52	1	502	117	6	154	3	4	1,016	1,225	301	0	10	9	16	.484	.541	1.387	1.929
10	Javy Lopez J. Lopez	222	244	873	302	414	40	2	453	52	6	104	2	6	937	1,190	286	0	6	8	23	.474	.504	1.363	1.867
11	Gabby Hartnett G. Hartnett	218	232	826	314	394	46	5	441	81	5	72	3		922	1,146	283	10			0	.477	.526	1.387	1.914
12	Roy Campanella R. Campanella	217	240	839	302	388	29	2	488	88	4	81	5	3	937	1,141	271	2	4	6	22	.462	.513	1.360	1.873
13	Salvador Perez S. Perez	214	226	849	273	374	36	0	437	42	7	119	1	0	905	1,088	262	0	7	4	25	.441	.467	1.282	1.749
14	Benito Santiago B. Santiago	201	213	784	261	345	32	2	415	41	4	125	6	5	838	1,020	247	2	7	5	14	.440	.467	1.301	1.768
15	Ted Simmons T. Simmons	189	195	755	252	340	31	4	396	75	2	46	0	3	842	964	230	0	10	18	15	.450	.495	1.277	1.772
16	Bill Dickey B. Dickey	185	201	734	276	367	24	6	424	66	1	13	5		803	1,006	231	2			1	.500	.542	1.371	1.912
17	Jason Varitek J. Varitek	181	193	681	255	323	35	3	342	77	12	116	1	3	775	943	231	3	2	12	11	.474	.534	1.385	1.918
18	Todd Hundley T. Hundley	181	197	669	237	291	20	2	360	88	7	128	2	1	768	906	219	1	3	20	10	.435	.503	1.354	1.858
19	A.J. Pierzynski	178	184	711	232	322	28	1	347	28	6	67	1	2	750	904	213	1	4	6	16	.453	.475	1.271	1.747
20	Russell Martin R. Martin	176	188	672	249	291	24	0	344	64	8	115	5	4	750	879	212	0	6	7	11	.433	.484	1.308	1.792
21	Ernie Lombardi E. Lombardi	176	183	705	220	332	17	6	344	37	4	34	1		746	910	206	0			12	.471	.500	1.291	1.791
22	Bill Freehan B. Freehan	169	184	645	225	288	17	5	302	52	12	61	2	3	715	867	206	3	3	7	16	.447	.494	1.344	1.839
23	Del Crandall D. Crandall	168	176	630	217	267	14	0	282	42	3	51	1	3	686	809	190	5	6	8	17	.424	.458	1.284	1.742
24	Yadier Molina Y. Molina	165	174	641	217	306	26	1	333	38	6	52	3	2	697	856	201	6	6	2	13	.477	.507	1.335	1.842
25	Yasmani Grandal Y. Grandal	161	176	613	213	258	16	2	306	76	1	126	1	1	693	806	194	0	3	1	10	.421	.483	1.315	1.798