Kent Tekulve has the most career games finished in non-saves, with 454 games finished.

Interpreted as:

most regular-season gf without a save by a player

	NAME	GF	SV	G	W	L	W%	GS	ERA	SO	CG	SHO	IP	H	ER	R	HR	BB	HBP	IBB	TBF	WP	K/9	BB/9	K/BB	HR/9	K%	BB%	WHIP	BABIP	RA	H/9
1	Kent Tekulve K. Tekulve	454	0	866	94	90	.511	0	3.33	638	0	0	1161.1	1,149	430	494	59	439	15	173	4,992	20	4.94	3.40	1.45	0.46	12.8	8.8	1.37	.284	3.83	8.90
2	Hoyt Wilhelm H. Wilhelm	423	0	842	143	122	.540	52	2.92	1,295	20	5	1835.0	1,533	596	729	142	685	57	62	7,623	77	6.35	3.36	1.89	0.70	17.0	9.0	1.21	.256	3.58	7.52
3	Lindy McDaniel L. McDaniel	403	0	813	141	119	.542	74	3.87	1,139	18	2	1852.0	1,915	796	907	160	586	12	135	7,903	100	5.54	2.85	1.94	0.78	14.4	7.4	1.35	.292	4.41	9.31
4	Sparky Lyle S. Lyle	396	0	661	99	76	.566	0	3.61	621	0	0	1018.2	1,084	409	474	79	410	12	77	4,445	57	5.49	3.62	1.51	0.70	14.0	9.2	1.47	.302	4.19	9.58
5	Gene Garber G. Garber	391	0	713	96	113	.459	9	4.20	702	4	0	1117.2	1,228	522	608	114	391	32	151	4,894	21	5.65	3.15	1.80	0.92	14.3	8.0	1.45	.305	4.90	9.89
6	Roy Face R. Face	383	0	657	104	95	.523	27	4.07	728	6	0	1123.2	1,205	508	564	132	332	12	104	4,800	29	5.83	2.66	2.19	1.06	15.2	6.9	1.37	.298	4.52	9.65
7	Rich Gossage R. Gossage	371	0	692	124	107	.537	37	3.92	1,018	16	0	1322.0	1,263	576	638	110	604	41	88	5,733	54	6.93	4.11	1.69	0.75	17.8	10.5	1.41	.291	4.34	8.60
8	Rollie Fingers R. Fingers	370	0	603	114	118	.491	37	3.96	861	4	2	1154.0	1,174	508	570	109	404	31	105	4,958	28	6.71	3.15	2.13	0.85	17.4	8.1	1.37	.300	4.45	9.16
9	Mike Marshall M. Marshall	361	0	536	97	112	.464	24	3.90	648	3	1	1039.1	1,068	450	508	71	423	25	47	4,532	69	5.61	3.66	1.53	0.61	14.3	9.3	1.43	.296	4.40	9.25
10	Tug McGraw T. McGraw	361	0	644	96	92	.511	39	3.78	878	5	1	1215.1	1,171	510	578	103	529	20	125	5,249	59	6.50	3.92	1.66	0.76	16.7	10.1	1.40	.287	4.28	8.67
11	Jesse Orosco J. Orosco	357	0	1,108	87	80	.521	4	3.65	990	0	0	1089.2	962	442	498	106	531	29	83	4,708	33	8.18	4.39	1.86	0.88	21.0	11.3	1.37	.280	4.11	7.95
12	Don McMahon D. McMahon	353	0	722	90	68	.570	2	3.42	818	0	0	1080.1	930	410	458	100	515	29	82	4,630	65	6.81	4.29	1.59	0.83	17.7	11.1	1.34	.262	3.82	7.75
13	John Franco J. Franco	350	0	695	90	87	.508	0	4.11	609	0	0	774.2	845	354	412	69	362	19	74	3,491	37	7.08	4.21	1.68	0.80	17.4	10.4	1.56	.319	4.79	9.82
14	Roberto Hernandez R. Hernandez	341	0	684	67	71	.486	3	4.66	615	0	0	724.1	776	375	437	87	365	26	47	3,288	40	7.64	4.54	1.68	1.08	18.7	11.1	1.58	.314	5.43	9.64
15	Doug Jones D. Jones	337	0	543	69	79	.466	4	4.72	589	0	0	748.0	907	392	437	80	196	29	49	3,336	11	7.09	2.36	3.01	0.96	17.7	5.9	1.47	.339	5.26	10.91
16	Bill Campbell B. Campbell	329	0	574	83	68	.550	9	4.20	672	2	1	991.0	999	463	527	74	436	19	96	4,347	41	6.10	3.96	1.54	0.67	15.5	10.0	1.45	.294	4.79	9.07
17	Jeff Reardon J. Reardon	328	0	513	73	77	.487	0	4.65	511	0	0	662.0	723	342	367	90	261	17	63	2,950	15	6.95	3.55	1.96	1.22	17.3	8.8	1.49	.306	4.99	9.83
18	Mike Timlin M. Timlin	326	0	917	75	73	.507	4	4.02	738	0	0	1052.0	1,076	470	515	117	350	43	70	4,516	29	6.31	2.99	2.11	1.00	16.3	7.8	1.36	.293	4.41	9.21
19	Lee Smith L. Smith	324	0	544	71	92	.436	6	4.95	622	0	0	696.1	771	383	417	74	351	6	90	3,149	35	8.04	4.54	1.77	0.96	19.8	11.1	1.61	.333	5.39	9.97
20	Jose Mesa J. Mesa	312	0	701	80	109	.423	95	5.23	785	6	2	1229.2	1,408	715	775	142	552	50	54	5,555	64	5.75	4.04	1.42	1.04	14.1	9.9	1.59	.314	5.67	10.31
21	Dan Quisenberry D. Quisenberry	309	0	430	56	46	.549	0	3.94	230	0	0	621.1	760	272	303	43	135	3	66	2,698	3	3.33	1.96	1.70	0.62	8.5	5.0	1.44	.314	4.39	11.01
22	Mariano Rivera M. Rivera	300	0	463	82	60	.577	10	3.99	546	0	0	595.2	607	264	286	61	186	17	40	2,568	7	8.25	2.81	2.94	0.92	21.3	7.2	1.33	.311	4.32	9.17
23	Todd Jones T. Jones	300	0	663	58	63	.479	1	5.19	597	0	0	743.2	834	429	470	85	363	31	57	3,382	36	7.23	4.39	1.64	1.03	17.7	10.7	1.61	.325	5.69	10.09
24	Billy Wagner B. Wagner	281	0	431	47	40	.540	0	3.76	616	0	0	471.1	385	197	223	69	204	19	21	1,999	32	11.76	3.90	3.02	1.32	30.8	10.2	1.25	.290	4.26	7.35
25	Michael Jackson M. Jackson	280	0	863	62	67	.481	7	3.83	848	0	0	1021.2	893	435	475	118	433	52	80	4,355	38	7.47	3.81	1.96	1.04	19.5	9.9	1.30	.267	4.18	7.87