You buy something online. Your order confirmation links to /api/orders/58291. You change it to 58290. You see the previous customer's name, shipping address, items purchased, and partial payment method.
Multiply this by an automated script that loops through 100,000 order IDs. Now you have a list of real names, real addresses, and what people bought.
A patient portal exposes records at /api/patients/3310/records. A user changes their patient ID. They can now read another patient's diagnoses, medications, lab results, and doctor's notes.
A banking app fetches statements at /api/accounts/AC-10042/transactions. Changing the account number returns another customer's full transaction history — where they shop, how much they earn, what they spend.