Alex Ovechkin has the most games with exactly 0 giveaways and 1+ goal, with 314 games.

Interpreted as:

most regular-season games by a player with 0 gva and 1+ goal

	NAME	GP	GVA	G	A	P	+/-	PIM	PPG	PPA	SHG	SHA	GWG	OTG	S	S%	FOW	FO	FOW%	HIT	BKS	TKA	TOI/GP
1	Alex Ovechkin A. Ovechkin	314	0	423	134	557	+193	184	153	50	4	1	67	14	1,649	25.7	12	34	35.3	665	136	150	20:00
2	Steven Stamkos S. Stamkos	281	0	358	166	524	+174	174	134	59	3	2	55	9	1,079	33.2	1,678	3,416	49.1	305	127	124	19:16
3	Jarome Iginla J. Iginla	279	0	345	126	471	+205	174	100	40	6	1	58	5	1,126	30.6	572	1,070	53.5	292	83	125	20:05
4	Zach Parise Z. Parise	272	0	321	88	409	+206	77	92	22	8	2	62	8	1,098	29.2	97	227	42.7	241	167	136	18:14
5	Marian Hossa M. Hossa	266	0	329	110	439	+219	126	92	40	22	4	55	11	1,024	32.1	13	37	35.1	184	92	203	18:39
6	Patrick Kane P. Kane	264	0	310	190	500	+195	90	86	62	0	0	51	9	1,044	29.7	66	178	37.1	78	55	149	19:39
7	Patrick Marleau P. Marleau	258	0	295	97	392	+152	77	86	43	8	0	64	7	847	34.8	938	1,970	47.6	232	77	106	18:37
8	Patrice Bergeron P. Bergeron	254	0	302	120	422	+201	81	92	41	17	8	54	5	1,005	30.0	3,057	5,266	58.1	170	149	173	18:25
9	Sidney Crosby S. Crosby	248	0	313	192	505	+185	119	91	71	1	2	55	9	993	31.5	2,899	5,350	54.2	202	121	138	20:07
10	Rick Nash R. Nash	236	0	278	83	361	+112	172	77	26	11	2	46	5	921	30.2	38	90	42.2	198	76	145	18:20
11	Daniel Sedin D. Sedin	235	0	274	115	389	+157	90	91	36	0	1	57	13	879	31.2	26	74	35.1	59	28	71	17:16
12	Corey Perry C. Perry	229	0	266	76	342	+167	194	80	27	4	1	46	0	807	33.0	20	66	30.3	195	84	104	17:12
13	Eric Staal E. Staal	229	0	291	125	416	+190	147	79	41	11	2	50	5	918	31.7	1,845	3,743	49.3	145	88	142	19:15
14	Jeff Carter J. Carter	225	0	265	80	345	+172	118	79	20	11	1	58	8	890	29.8	1,566	3,063	51.1	184	86	106	17:35
15	Joe Pavelski J. Pavelski	214	0	246	99	345	+156	86	95	29	4	1	36	4	754	32.6	1,390	2,565	54.2	213	186	122	18:22
16	Shane Doan S. Doan	214	0	253	117	370	+138	156	87	47	3	4	41	5	788	32.1	208	462	45.0	423	48	141	19:20
17	Jonathan Toews J. Toews	210	0	238	117	355	+168	131	61	30	14	2	42	10	684	34.8	2,287	4,006	57.1	135	78	158	19:24
18	Milan Hejduk M. Hejduk	210	0	249	91	340	+130	76	102	30	2	3	32	6	727	34.3	75	156	48.1	83	67	116	19:06
19	Anze Kopitar A. Kopitar	207	0	250	109	359	+183	54	77	39	5	1	47	4	650	38.5	2,071	3,853	53.8	149	139	124	20:41
20	Claude Giroux C. Giroux	206	0	230	111	341	+125	79	61	41	5	2	31	6	689	33.4	1,853	3,271	56.6	146	84	107	19:15
21	James van Riemsdyk J. van Riemsdyk	205	0	233	66	299	+133	133	67	14	1	0	33	1	723	32.2	21	53	39.6	157	55	78	16:36
22	David Perron D. Perron	205	0	241	67	308	+133	124	66	23	3	0	34	5	624	38.6	35	75	46.7	228	62	110	17:05
23	Paul Stastny P. Stastny	196	0	221	108	329	+125	88	60	35	2	0	47	5	557	39.7	1,832	3,407	53.8	115	89	128	18:38
24	John Tavares J. Tavares	191	0	232	109	341	+105	100	73	37	0	0	41	7	718	32.3	1,818	3,446	52.8	131	84	130	18:47
25	Blake Wheeler B. Wheeler	187	0	212	93	305	+154	125	40	31	10	2	33	4	603	35.2	133	279	47.7	204	127	91	17:57