Panzer 4 (ostheer), Panzer 4 Ausf J (OKW). Panzerfausts do this as well, with the t34-76 and t34-85.
Outside of the T34/85 all those tanks have 640 hp and therefore only need to surpass a threshold of 160 damage after the faust to receive an engine crit. If I recall correctly fausts and AT nades do 80 damage so that means any 640hp tank with 88% or less health is going to take engine damage from a faust. The T34/85 meanwhile needs to be below 85% to take a crit. Are you certain the tanks are above 90% hp after faust damage is calculated?