Just bought an $1 TTO Assured razor at Dollar Tree with 5 blades as an experiment and it works fine. Kind of flimsy, but I used it for 4 shaves in a row with the given blades and must say it provided comfortable BBS shaves. A better made razor may outlast it, but I could buy many of these for the same price and alway have a new razor with blades.
I think the PAA cube and Godrey soap, RR Amici soap, work well last fairly long and are cheap. I agree with most of the others folks have listed as well.
Steve