Douglas Copeland had a couple in Shampoo Planet. I have never read the novel, but when the NY Times printed them I did have to explain what the joke was to a household member who either never had encountered or had entirely forgotten the periodic table.

Internet time-wasting periodic table (created with CSS Grid)

https://codepen.io/oliviale/full/ZmvPPd

Periodic table of Pokémon

Periodic Table of AWS Services was a hit at the office.

Tom Lehrer made mention of the elements of the ancient world. If compiled into a periodic table of elements, it would be:

Earth, Air, Fire, & Water

Periodic Table of Adobe Products.

Not enough for a full table, but their icons are already basically formatted like elements.

The Periodic Table of Things Not On Any So-Called "Periodic Table of X".

Does it contain itself?

Periodic table of self?

Periodic Table of Periodic Tables