As suggested by the title, and the fact that these objects are "arrayed on a table," this puzzle is based on the periodic table--or rather, on a variety of periodic tables. They are:
Looking up each of the "elements" in the puzzle on one of these tables allows you to find the next element in each case:
Sin
Nutella
Aspartame
Pylon
Convenience Store
Ready Teller
Angels of the Apocalypse
Carbon
Ketsup
Loxodontium
Edible Oil Product
Pekingese
Ozone
Peanut Butter
Space Pirates
Cerium--At Last!
Europe
Robot
Exhaustion
Anodyne
Lottery
The first letters of each of these elements spell SNAP CRACKLE POP'S CEREAL, which is RICE KRISPIES.