The paid service Blur allows you to create disposable credit cards (U.S. only)

Similar to Blur, Privacy.Com allows you to create disposable credit cards (U.S. only)

Using Bitcoins is another good option — however be aware that Bitcoin transactions are only quasi-anonymous.

Blur: Create Masked Emails, Phone Numbers, Credit Cards

Blur is a service run by the privacy company Abine. It allows you to create disposable credit cards (legally). You choose how much you want to add to a card, and a “masked card” will be automatically created. You can obtain a new card whenever needed. All charges on the credit card will show up as “ABINE, INC”.

The cost of this service (MaskMe Premium) is $5 a month, and it also gives you access to the other features — Masked Phone Numbers, Masked Emails and the MaskMe apps for iOS and Android.

Amazon Gift Cards

Gift cards can be anonymous if purchased with cash. Many website accept Amazon Gift Cards as a form of payment, so an Amazon gift card can be a anonymous checkout gateway.