Ivan Rodriguez has the most career runs + RBIs by a catcher, with 2,686.

	NAME	R+RBI	R	RBI	G	AB	H	2B	3B	HR	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS	WRC	WRAA	WOBA	WRC+	BRAA
1	Ivan Rodriguez I. Rodriguez	2,686	1,354	1,332	2,543	9,592	2,844	572	51	311	513	58	1,474	127	64	10,270	4,451	934	31	76	67	337	.296	.334	.464	.798	1383	124.8	.344	104	63.1
2	Carlton Fisk C. Fisk	2,515	1,227	1,288	2,408	8,436	2,269	398	45	366	839	137	1,348	125	58	9,513	3,855	809	25	76	105	195	.269	.342	.457	.799	1320	264.6	.355	118	190.7
3	Yogi Berra Y. Berra	2,482	1,113	1,369	2,001	7,160	2,043	310	49	336	669	50	386	28	19	7,927	3,459	695	9	39	45	139	.285	.349	.483	.832	1173	257.6	.371	124	238.4
4	Johnny Bench J. Bench	2,260	1,001	1,259	1,877	6,771	1,811	342	22	356	813	19	1,161	67	38	7,700	3,265	720	9	88	129	170	.267	.344	.482	.826	1115	288.8	.365	128	243.8
5	Mike Piazza M. Piazza	2,205	968	1,237	1,700	6,147	1,921	306	7	399	673	28	974	17	20	6,888	3,438	712	0	40	132	206	.313	.381	.559	.940	1238	379.9	.397	145	399.8
6	Bill Dickey B. Dickey	2,139	930	1,209	1,789	6,300	1,969	343	72	202	678	31	289	36		7,060	3,062	617	51			49	.313	.382	.486	.868	1182	312.3	.396	126	253.9
7	Ted Simmons T. Simmons	2,125	930	1,195	1,954	7,244	2,116	413	43	222	720	34	576	15	31	8,094	3,281	678	9	87	164	238	.292	.355	.453	.808	1126	242.7	.357	122	206.1
8	Gary Carter G. Carter	2,124	967	1,157	2,152	7,468	1,956	351	30	307	776	67	914	34	40	8,429	3,288	688	23	95	98	173	.262	.333	.440	.773	1096	147.3	.341	116	151.4
9	Gabby Hartnett G. Hartnett	2,046	867	1,179	1,990	6,432	1,912	396	64	236	703	35	697	28		7,297	3,144	696	127			19	.297	.370	.489	.858	1186	271.2	.389	127	251.3
10	Lance Parrish L. Parrish	1,926	856	1,070	1,988	7,067	1,782	305	27	324	612	37	1,527	28	37	7,797	3,113	656	23	58	62	197	.252	.313	.440	.753	962	79.8	.332	105	46.3
11	Jorge Posada J. Posada	1,887	866	1,021	1,714	5,748	1,583	365	10	261	897	72	1,377	20	19	6,763	2,751	636	1	45	74	169	.275	.377	.479	.856	1063	228.8	.370	125	213.1
12	Mickey Cochrane M. Cochrane	1,871	1,041	830	1,482	5,169	1,652	333	64	119	857	29	217	64		6,206	2,470	516	151				.320	.419	.478	.897	1128	344.9	.413	132	269.2
13	Yadier Molina Y. Molina	1,799	777	1,022	2,224	7,817	2,168	408	7	176	542	76	922	71	37	8,553	3,118	591	43	75	50	287	.277	.327	.399	.726	979	-27.6	.316	97	-39.1
14	Jason Kendall J. Kendall	1,774	1,030	744	2,085	7,627	2,195	394	35	75	721	254	686	189	89	8,701	2,884	504	36	63	51	176	.288	.366	.378	.744	1100	26.2	.334	99	-7.6
15	Brian McCann B. McCann	1,760	742	1,018	1,755	6,067	1,590	294	5	282	640	75	1,054	25	9	6,850	2,740	581	9	59	71	180	.262	.337	.452	.789	910	106.6	.340	110	83.7
16	A.J. Pierzynski	1,716	807	909	2,059	7,290	2,043	407	24	188	308	129	895	15	23	7,813	3,062	619	28	58	68	241	.280	.319	.420	.739	897	-28.5	.319	92	-79.9
17	Benito Santiago B. Santiago	1,675	755	920	1,978	6,951	1,830	323	41	217	430	38	1,270	91	69	7,515	2,886	581	26	70	52	204	.263	.307	.415	.722	832	-67.7	.315	91	-82.8
18	Salvador Perez S. Perez	1,602	665	937	1,599	6,063	1,610	298	11	275	251	85	1,222	6	1	6,452	2,755	584	0	53	38	187	.266	.302	.454	.756	790	40.6	.322	101	11.8
19	Deacon McGuire D. McGuire	1,594	757	837	1,727	6,130	1,718	292	79	43	510	83	355	118		6,770	2,297	414	47				.280	.344	.375	.718	1013	57.8	.344	100	8
20	Ernie Lombardi E. Lombardi	1,591	601	990	1,853	5,855	1,792	277	27	190	430	46	262	8		6,349	2,693	494	18			143	.306	.358	.460	.818	952	199.4	.376	125	194.9
21	Russell Martin R. Martin	1,574	803	771	1,693	5,701	1,416	255	9	191	792	107	1,211	101	51	6,648	2,262	455	12	36	46	190	.248	.349	.397	.746	829	50.1	.330	104	34
22	Darrell Porter D. Porter	1,551	746	805	1,697	5,409	1,338	234	48	181	875	43	982	39	37	6,407	2,211	463	18	62	102	100	.247	.353	.409	.762	827	114.8	.342	113	97
23	Bob Boone B. Boone	1,505	679	826	2,264	7,245	1,838	303	26	105	663	20	608	38	50	8,148	2,508	434	142	78	90	191	.254	.315	.346	.661	780	-130.6	.298	82	-174.8
24	Roy Campanella R. Campanella	1,483	627	856	1,215	4,205	1,161	178	18	242	533	30	501	25	15	4,816	2,101	438	30	18	30	143	.276	.360	.500	.860	755	193.4	.385	123	142.6
25	Javy Lopez J. Lopez	1,467	638	829	1,409	4,977	1,441	247	18	252	337	64	893	8	19	5,429	2,480	517	6	45	43	162	.290	.340	.498	.838	796	118.3	.358	115	104.2