Cuban:
Fonseca Cosacos
Partagas Super Partagas (I think these are the best of the whole marca)
SCdLH El Principe (not quite a budget smoke, but close)
Non-Cuban:
Famous Nicaraguan 3000
Benchmade
Tampa Sweethearts
Consuegra's
Occidental Reserve double maduro
Partagas Black
Punch
Oliva G, O, and sometimes V
DPG blue (when gotten on the joecigar deal, it's a budget smoke
)