The sign on the storefront that is written in the alien language translates to "Used Human Probes".
Spargel uses a knife to cut through Bender's metal arm and then cuts a tomato. This is a spoof of Ginsu knife commercial where they cut through a tin can and lead pipe and then slice a tomato.
In "Iron Cook" competition Japanese anchorman refers to Bender as "Domo arigato, Mr. Roboto" that is reference to the song of 1982 "Mr. Roboto" by Styx.
The dishes prepared by Bender for the crew are: A human digestive tract for Professor Farnsworth, A pony's lower leg for Amy, A dish with a side of two eye balls for Leela, Fry's meal is not distinguishable, although it looks something like a petrified rack of ribs and Hermes' meal is not distinguishable.
It is explained in this episode that Bender has 8 senses, which do not include taste but do include an unexplained sense, "Schmision."