Drew Brees has made the most career completions when scoring >40 passing touchdowns and passing for >40 yards, with 7,142 completions.

most completed touchdown passes over 40 yards all-time
Interpreted as:
most completed by a player touchdown passes over 40 passing yards all-time
BreesBradyFavreManningRiversRoethlisbergerRyanMarinoManningRodgersElwayStaffordMoonPalmerBledsoeTestaverdeFlaccoTarkentonCollinsMontanaFoutsSmithHasselbeck7.1k7.0k6.3k6.1k5.3k5.2k5.0k5.0k4.9k4.5k4.1k4.1k4.0k3.9k3.8k3.8k3.7k3.7k3.5k3.4k3.3k3.3k3.2k
NAMEGPCMPTDYDSATTPCTAVGYDS/GTD%INTINT%SCKSCKYRATE
Drew BreesDrew Brees2877,14257180,35810,55167.77.6280.05.42432.34202,99198.7
Tom BradyTom Brady3086,98160281,47910,90164.07.5264.55.51941.85303,33397.6
Brett FavreBrett Favre3026,30050871,83810,16962.07.1237.95.03363.35253,48786.0
Peyton ManningPeyton Manning2666,12553971,9409,38065.37.7270.55.72512.73031,95396.5
Philip RiversPhilip Rivers2445,27742163,4408,13464.97.8260.05.22092.64652,84295.2
Ben RoethlisbergerBen Roethlisberger2395,20340361,8638,07364.47.7258.85.02052.55283,49793.8
Matt RyanMatt Ryan2115,03335957,4357,68765.57.5272.24.71622.14192,77694.6
Dan MarinoDan Marino2424,96742061,3618,35859.47.3253.65.02523.02701,93086.4
Eli ManningEli Manning2364,89536657,0238,11960.37.0241.64.52443.04112,87084.1
Aaron RodgersAaron Rodgers2054,45842953,1396,84565.17.8259.26.3921.34853,273104.0
John ElwayJohn Elway2344,12330051,4757,25056.97.1220.04.12263.15163,78579.9
Matthew StaffordMatthew Stafford1724,06530147,2816,46562.97.3274.94.71482.33922,55690.9
Warren MoonWarren Moon2083,98829149,3256,82358.47.2237.14.32333.44583,41580.9
Carson PalmerCarson Palmer1823,94129446,2476,30762.57.3254.14.71873.03402,36487.9
Drew BledsoeDrew Bledsoe1943,83925144,6116,71757.26.6230.03.72063.14673,13577.1
Vinny TestaverdeVinny Testaverde2333,78727546,2336,70156.56.9198.44.12674.04172,99275.0
Joe FlaccoJoe Flacco1763,74422440,9316,06661.76.7232.63.71442.43662,62384.1
Fran TarkentonFran Tarkenton2463,68634247,0036,46757.07.3191.15.32664.12742,33780.4
Kerry CollinsKerry Collins1983,48720840,9226,26155.76.5206.73.31963.13372,23073.8
Joe MontanaJoe Montana1923,40927340,5515,39163.27.5211.25.11392.63132,09592.3
Dan FoutsDan Fouts1813,29725443,0405,60458.87.7237.84.52424.33192,30480.2
Alex SmithAlex Smith1743,25019935,6505,19362.66.9204.93.81092.14322,46386.9
Matt HasselbeckMatt Hasselbeck2093,22221236,6385,33060.56.9175.34.01532.93602,26082.4
Donovan McNabbDonovan McNabb1673,17023437,2765,37459.06.9223.24.41172.24102,62685.6
Dave KriegDave Krieg2133,10526138,1475,31158.57.2179.14.91993.74943,79481.5
StatMuse has season-level data for completions and passing yards going back to the 1932 season.