Battle star rating effect on drops in FFXII-2
Solution 1:
If you get 5 stars in a battle it increases your drop rate by 200%. Anything below this doesn't affect natural drop rate of a battle.
However, you can equip a Collector's Catalog
which can be won from Chocobo Racing in Serendipity
which increases your drop rate by 20%.
There is also the Durable Catalog
which increases drop rates even more (120% for a rare drop and 300% for normal item drop) and you can also use a Silver Chocobo
which will have `Item Scavenger 2' which increases item drop rate by 150%.
These aren't stackable though: meaning your best option is to get the Durable Catalog