Is there a report to list customer purchase histories rather than looking up each customer and clicking on the Purchases tab?

Option 1:
Go to Reports | Sales | Detailed Sales Report. Ungroup the report, unhide the account number field and drag it to the far left and then regroup the report by the first column. This will sort the report by customer account with the details below.

Option 2:
Go to Utilities | Crystal Reports | Customer List. Check off 'List customer purchases' under the Additional Details tab before generating the report.