Without more specifics on what the database will be used for, here are some Algorand technologies that may be relevant:
Algorand Standard Assets (ASAs)
You can use Algorand’s Standard Assets (ASAs) as a way to assign official credentials to an item. Here are the docs on ASAs: https://developer.algorand.org/docs/features/asa/. With ASAs, you can do things like represent each coin or beanie baby as its own asset and encode information about it its condition in the notefield or by using the URL field to link to details about the asset.
Stateful Smart Contracts
You could also take a look at our Stateful Smart Contracts: https://developer.algorand.org/docs/features/asc1/stateful/
With stateful smart contracts you can store some key/value pairs on the blockchain through an application. In your case, perhaps an Algorand address is associated with a specific coin/beanie baby and you store some local state that denotes the condition of that coin/beanie bay. Here are some examples of applications built with stateful smart contracts that might help get you better acquainted with the technology:
Those are just some examples, but it is difficult to tell which technology would be best without knowing more about your end goals. Hopefully this will get you started though!