I’m looking for an app or widget that I can add to a prospective site that can do similar to the attached.
the attached is an app for collectors of Funko Pops, customers of Funko can search for a “Pop” and if they already have it, they can press the trophy button to add to their collection or press the heart button if they want it. They can then track this in their members sections and see what they have and need.
I’d like to do something similar for other hobbies and collections types so other enthusiasts have a place online to track their collections.

You should ask Wix Support if there's an app, or try using Corvid to build your own.