This is a perfectly acceptable approach - foreign keys are indeed the correct way of modeling a many-to-one relationship.
Generally, you can't just say you want to make a solution "better"; rather, you should have a specific goal in mind. Faster, shorter implementation, less memory, whatever. Even better is if you have a specific use case you would like to optimize for.
Edit: your question is more clear now that you've edited it. If I understand correctly, you feel your current implementation is inefficient because one of your TableA items can be attached to at most one other item, be it from TableC, TableC, etc.
If that is correct, what I might do is implement the foreign key in Table A as both an ID and a table name, rather than having a new column for each new type of object you want to add to your system. Of course, this would prevent you from changing table names, so a more robust solution would be to have another table mapping unique ids to object types (stored as table names). Then the foreign key in Table A would be item_id
and object_type_id
, and you could retrieve the object by looking up object_type_id
in the object_types
table to get the table name.