Terrell Davis had the most rushing touchdowns by a player in his first 4 seasons, with 56 touchdowns.

who has the most rushing td first 4 season
DavisDickersonCampbellTomlinsonPetersonSandersSmithJones-DrewBrownJohnsonGurleyAlexanderPortisPaytonFosterAllenKamaraElliottMartinForemanHenryJohnsonVan Buren5655555452525049494746464545444443404039383838
NAMEGPRUSH TDRUSH YDSATTYPCRUSH YDS/GREC YDSRECTRGAVGREC YDS/GREC TD
Terrell DavisTerrell Davis61566,4131,3434.8105.11,1811527.819.45
Eric DickersonEric Dickerson62556,9681,4654.8112.48741187.414.12
Earl CampbellEarl Campbell62556,4571,4044.6104.1345754.65.60
LaDainian TomlinsonLaDainian Tomlinson63545,8991,3634.393.62,0222913786.932.16
Adrian PetersonAdrian Peterson61525,7821,1984.894.81,1701191749.819.22
Barry SandersBarry Sanders62525,6741,1894.891.51,29413010.020.95
Emmitt SmithEmmitt Smith62505,6991,2624.591.91,2351896.519.93
Maurice Jones-DrewMaurice Jones-Drew63493,9248424.762.31,7822012638.928.35
Jim BrownJim Brown48495,0559645.2105.3587757.812.24
Larry JohnsonLarry Johnson48474,2058924.787.61,0339714810.621.55
Todd GurleyTodd Gurley58464,5471,0424.478.41,88318725210.132.510
Shaun AlexanderShaun Alexander64464,2419944.366.31,1391502077.617.86
Clinton PortisClinton Portis60455,9301,2584.798.81,1291411978.018.84
Walter PaytonWalter Payton57455,3161,1794.593.31,1111258.919.52
Arian FosterArian Foster51444,5211,0104.588.61,5311672239.230.06
Marcus AllenMarcus Allen57444,6381,0814.381.42,3042379.740.413
Alvin KamaraAlvin Kamara60433,3406725.055.72,8243264098.747.115
Ezekiel ElliottEzekiel Elliott56405,4051,1694.696.51,6191892448.628.98
Curtis MartinCurtis Martin60405,0861,3273.884.81,2551607.820.96
Chuck ForemanChuck Foreman53393,8039394.171.82,20621810.141.618
Derrick HenryDerrick Henry62383,8338044.861.8578577410.19.33
Chris JohnsonChris Johnson63385,6451,1874.889.61,4261942697.422.64
Steve Van BurenSteve Van Buren40382,8135565.170.32772511.16.92
Aaron JonesAaron Jones54373,3646515.262.31,0571311848.119.66
Billy SimsBilly Sims52374,4191,0014.485.01,83315511.835.35
StatMuse has season-level data for rushing touchdowns going back to the 1921 season.