Lamar Jackson has the most games with 5+ passing touchdowns and 2+ rushing touchdowns in a season, with 2 games in 2016.

Interpreted as:

most games by a player with 5 or more passing touchdowns and 2 or more rushing touchdowns, in a season

	NAME	GP	PASS TD	RUSH TD	SEASON	TM	CMP	ATT	PCT	YDS	AVG	YDS/G	INT	RTG	TD%	INT%	SCK	SCKY
1	Lamar Jackson L. Jackson	2	11	4	2016	LOU	41	67	61.2	703	10.5	351.5	1	200.5	16.4	1.5	1	8
2	Alonza Barnett III A. Barnett III	1	5	2	2024	JMU	22	34	64.7	388	11.4	388.0	0	209.1	14.7	0.0	2	11
3	Cade Klubnik C. Klubnik	1	5	2	2024	CLEM	24	26	92.3	378	14.5	378.0	0	277.9	19.2	0.0	0	0
4	Jayden Daniels J. Daniels	1	6	2	2023	LSU	25	30	83.3	413	13.8	413.0	0	265.0	20.0	0.0	0	0
5	Dillon Gabriel D. Gabriel	1	5	3	2023	OKLA	23	36	63.9	423	11.8	423.0	0	208.4	13.9	0.0	2	14
6	Emory Jones E. Jones	1	5	2	2023	CIN	19	23	82.6	345	15.0	345.0	0	280.3	21.7	0.0	2	10
7	Micale Cunningham M. Cunningham	1	5	2	2021	LOU	18	25	72.0	303	12.1	303.0	0	239.8	20.0	0.0	1	6
8	Sam Hartman S. Hartman	1	5	2	2021	WAKE	25	51	49.0	398	7.8	398.0	2	139.1	9.8	3.9	2	10
9	Dorian Thompson-Robinson D. Thompson-Robinson	1	5	2	2019	UCLA	25	38	65.8	507	13.3	507.0	1	216.0	13.2	2.6	1	6
10	D'Eriq King D. King	1	5	2	2018	HOU	28	40	70.0	419	10.5	419.0	2	189.2	12.5	5.0	1	2
11	Keytaon Thompson K. Thompson	1	5	2	2018	MSST	13	31	41.9	364	11.7	364.0	0	193.8	16.1	0.0	0	0
12	J.T. Barrett	1	5	2	2017	OSU	27	33	81.8	325	9.8	325.0	0	214.5	15.2	0.0	1	7
13	Zack Mahoney Z. Mahoney	1	5	2	2016	SYR	43	61	70.5	440	7.2	440.0	1	154.9	8.2	1.6	3	18
14	Nick Fitzgerald N. Fitzgerald	1	5	2	2016	MSST	20	35	57.1	417	11.9	417.0	2	192.9	14.3	5.7	1	2
15	Patrick Mahomes P. Mahomes	1	5	2	2016	TTU	52	88	59.1	734	8.3	734.0	1	145.6	5.7	1.1	1	2
16	Jake Browning J. Browning	1	6	2	2016	WASH	22	28	78.6	304	10.9	304.0	0	240.5	21.4	0.0	2	6
17	Dak Prescott D. Prescott	1	5	2	2015	MSST	38	50	76.0	508	10.2	508.0	1	190.3	10.0	2.0	2	4
18	Shane Carden S. Carden	1	5	2	2013	ECU	34	50	68.0	384	7.7	384.0	0	165.5	10.0	0.0
19	Taylor Kelly T. Kelly	1	5	2	2013	ASU	22	31	71.0	275	8.9	275.0	1	192.3	16.1	3.2	2	6
20	Garrett Gilbert G. Gilbert	1	5	2	2013	SMU	45	70	64.3	484	6.9	484.0	0	145.9	7.1	0.0	4	22
21	Marcus Mariota M. Mariota	1	5	2	2013	ORE	16	27	59.3	355	13.1	355.0	0	230.8	18.5	0.0	1	6
22	Tajh Boyd T. Boyd	1	5	3	2012	CLEM	30	44	68.2	426	9.7	426.0	2	177.9	11.4	4.5
23	Chase Clement C. Clement	1	5	2	2008	RICE	22	28	78.6	298	10.6	298.0	0	226.9	17.9	0.0
24	Chase Clement C. Clement	1	6	2	2007	RICE	32	58	55.2	395	6.8	395.0	3	136.2	10.3	5.2
25	Kent Smith K. Smith	1	5	2	2004	CMU	24	35	68.6	319	9.1	319.0	2	180.8	14.3	5.7