Drew Brees had the most games by a quarterback with 300+ total yards, with 130 games.

Interpreted as:

most qb 300 or more passing total yard passing regular-season games

	NAME	GP	TOTALYDS	YDS	CMP	ATT	PCT	AVG	YDS/G	TD	INT	RTG	TD%	INT%	SCK	SCKY
1	Drew Brees D. Brees	130	46,427	46,028	3,749	5,383	69.6	8.6	354.1	344	115	108.1	6.4	2.1	194	1,320
2	Tom Brady T. Brady	120	42,725	42,154	3,383	4,978	68.0	8.5	351.3	318	71	109.4	6.4	1.4	196	1,210
3	Aaron Rodgers A. Rodgers	100	34,635	32,798	2,583	3,870	66.7	8.5	328.0	262	48	110.4	6.8	1.2	244	1,580
4	Peyton Manning P. Manning	97	33,774	33,552	2,658	3,948	67.3	8.5	345.9	245	103	103.4	6.2	2.6	126	851
5	Matt Ryan M. Ryan	86	29,840	29,192	2,461	3,558	69.2	8.2	339.4	177	56	103.9	5.0	1.6	174	1,179
6	Matthew Stafford M. Stafford	84	29,435	28,854	2,284	3,512	65.0	8.2	343.5	191	71	100.2	5.4	2.0	170	1,167
7	Philip Rivers P. Rivers	79	27,519	27,266	2,112	3,133	67.4	8.7	345.1	170	79	102.1	5.4	2.5	145	862
8	Ben Roethlisberger B. Roethlisberger	73	26,475	25,968	2,053	3,067	66.9	8.5	355.7	170	75	101.4	5.5	2.4	167	1,093
9	Brett Favre B. Favre	68	23,300	22,761	1,773	2,758	64.3	8.3	334.7	158	68	98.9	5.7	2.5	115	829
10	Dan Marino D. Marino	65	23,060	23,019	1,696	2,742	61.9	8.4	354.1	173	87	96.4	6.3	3.2	77	614
11	Patrick Mahomes P. Mahomes	64	23,256	21,789	1,785	2,602	68.6	8.4	340.5	172	46	108.8	6.6	1.8	104	670
12	Kirk Cousins K. Cousins	58	20,609	20,225	1,658	2,355	70.4	8.6	348.7	138	39	109.2	5.9	1.7	115	866
13	Eli Manning E. Manning	56	19,855	19,599	1,551	2,414	64.3	8.1	350.0	123	76	93.3	5.1	3.1	88	578
14	Warren Moon W. Moon	55	19,581	19,047	1,429	2,324	61.5	8.2	346.3	108	79	88.8	4.6	3.4	117	851
15	Russell Wilson R. Wilson	54	18,801	16,743	1,255	1,873	67.0	8.9	310.1	133	31	111.9	7.1	1.7	151	1,033
16	Carson Palmer C. Palmer	53	18,515	18,321	1,425	2,223	64.1	8.2	345.7	110	56	95.8	4.9	2.5	128	907
17	Kurt Warner K. Warner	53	18,427	18,252	1,407	2,080	67.6	8.8	344.4	115	63	100.8	5.5	3.0	124	823
18	Dan Fouts D. Fouts	52	18,288	18,144	1,280	2,063	62.0	8.8	348.9	111	79	92.4	5.4	3.8
19	Josh Allen J. Allen	50	18,007	15,560	1,310	1,926	68.0	8.1	311.2	121	35	105.8	6.3	1.8	78	441
20	Jared Goff J. Goff	50	17,653	17,413	1,367	2,014	67.9	8.6	348.3	116	26	108.5	5.8	1.3	79	549
21	Steve Young S. Young	50	17,483	15,695	1,154	1,731	66.7	9.1	313.9	115	35	109.1	6.6	2.0	114	578
22	John Elway J. Elway	50	17,077	16,095	1,192	1,952	61.1	8.2	321.9	102	51	93.9	5.2	2.6	112	863
23	Tony Romo T. Romo	48	16,411	16,180	1,243	1,857	66.9	8.7	337.1	114	48	103.9	6.1	2.6	94	654
24	Cam Newton C. Newton	46	15,915	13,780	1,053	1,677	62.8	8.2	299.6	95	45	96.3	5.7	2.7	101	733
25	Derek Carr D. Carr	44	15,114	14,768	1,193	1,836	65.0	8.0	335.6	88	39	96.9	4.8	2.1	73	415

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Jets - e	3	14	0	.176
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Bengals - e	6	11	0	.353
Browns - e	5	12	0	.294
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Texans - w	12	5	0	.706
Colts - e	8	9	0	.471
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Rams - w	12	5	0	.706
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