If your on the desktop version of the site you can use the table to sort by Availability, My Collection (Caught vs Still Looking For), ect.
Y/N ~ Y = Yes, I have that shiny | N = No, I do not have it yet
x? = How Many Do I Have
Rarity ~ Categorizes the different levels of rarity
Desc. ~ Describes how to obtain that Pokémon
LIVE? ~ YES = It's Currently Available to Obtain that Pokémon

Rare Shiny Pokémon:

If your on the desktop version of the site you can use the table to sort by Availability, My Collection (Caught vs Still Looking For), ect.