A method for processing a feedstock to form a distillate product, comprising: contacting a feedstock having a T5 boiling point of at least 473°F (245°C) with a first hydrotreating catalyst under first effective hydrotreating conditions to produce a first hydrotreated effluent, the first hydrotreating catalyst comprising at least one Group VIII non-noble metal and at least one Group VIB metal on a refractory support; performing a separation on the first hydrotreated effluent to form at least a first separated effluent portion and a first remaining effluent portion; contacting the first remaining effluent portion with a second hydrotreating catalyst comprising, under second effective hydrotreating conditions to produce a second hydrotreated effluent, the second hydrotreating catalyst comprising at least one Group VIII non-noble metal and at least one Group VIB metal on a refractory support, which is an amorphous support, a support that contains 0.01 wt% or less of molecular sieves, or a combination thereof; fractionating the second hydrotreated effluent to form at least a hydrotreated distillate boiling range product and a second remaining effluent portion, the second remaining effluent portion having a T5 boiling point of at least 700°F (371°C); contacting the second remaining effluent portion with a hydrocracking catalyst under effective hydrocracking conditions to produce a hydrocracked effluent, the hydrocracking catalyst comprising a large pore molecular sieve; and fractionating the hydrocracked effluent to produce at least a hydrocracked distillate boiling range product, wherein performing a separation on the first hydrotreated effluent comprises fractionating the first hydrotreated effluent, the first separated effluent comprising at least an intermediate distillate boiling range product, or comprises stripping the first hydrotreated effluent. contacting a feedstock having a T5 boiling point of at least 473°F (245°C) with a first hydrotreating catalyst under first effective hydrotreating conditions to produce a first hydrotreated effluent, the first hydrotreating catalyst comprising at least one Group VIII non-noble metal and at least one Group VIB metal on a refractory support; performing a separation on the first hydrotreated effluent to form at least a first separated effluent portion and a first remaining effluent portion; contacting the first remaining effluent portion with a second hydrotreating catalyst comprising, under second effective hydrotreating conditions to produce a second hydrotreated effluent, the second hydrotreating catalyst comprising at least one Group VIII non-noble metal and at least one Group VIB metal on a refractory support, which is an amorphous support, a support that contains 0.01 wt% or less of molecular sieves, or a combination thereof; fractionating the second hydrotreated effluent to form at least a hydrotreated distillate boiling range product and a second remaining effluent portion, the second remaining effluent portion having a T5 boiling point of at least 700°F (371°C); contacting the second remaining effluent portion with a hydrocracking catalyst under effective hydrocracking conditions to produce a hydrocracked effluent, the hydrocracking catalyst comprising a large pore molecular sieve; and fractionating the hydrocracked effluent to produce at least a hydrocracked distillate boiling range product, wherein performing a separation on the first hydrotreated effluent comprises fractionating the first hydrotreated effluent, the first separated effluent comprising at least an intermediate distillate boiling range product, or comprises stripping the first hydrotreated effluent.