I have a debit card and I've used it to buy items on the App Store. Now it's not accepting the debit card anymore and demands a new card to buy/update apps.
Debit cards are no longer accepted in the iTunes Store, it seems.
The available payment methods vary by country. You can typically use these methods:
- Credit cards
- Content codes
- Store credit, including iTunes Store Gift Cards, Gift Certificates, and Allowances
- UnionPay (requires SMS PIN for setup)
So if you can use PayPal as payment type in the iTunes store. Open a PayPal account, hook up your debit card. And you up and running again.