For Product Searches - Top Selling Products, Top Searched Products, Revenue Distributions, Orders, Audit Logs, Bulk Redelivery History, Listing Enhancement Performance

For Buyer/Customer Searches - Orders

For Recipient Searches - Transaction History

For Manager Searches - Audit Logs

For Collaborator Searches - Revenue Distributions

All of the above could use a "Search" option to make things more faster and simpler for the store owner or manager.

As for why on the product searches, that's simply because sifting through 20 or so products per page within a store that might have a few hundred or a few thousand items is not feasible. There might be other pages that could use the "Search" option but the above are helpful suggestions on where to start.

While when it comes to name searches for something like a "Recipient" it becomes harder unless you saved past emails or the sale was recent because it can be difficult to practically impossible to find their name. That's because the "Recipient" isn't the Buyer/Customer, when they were only gifted the item through the MP. Least in this way you can easily tell if the person asking for a manual redelivery is legit or not when said person ask the store owner. That and saves a store manager from having to confer with the store owner on whether the "Recipient" is legit or scamming.

when customers are gifted items and they at a later date end up asking the store owner or staff who had bought them said item, that question can at least be easily resolved.

Though "Top Selling Products" and "Top Searched Products" would be subjectively the most important.