Consumer Protection Against Credit Card Fraud Act of 1991 - Amends the Federal criminal code to establish penalties for knowingly and with intent to defraud: (1) effecting transactions with one or more access devices (ADs) issued to another person to receive payment or any other thing of value during any one-year period the aggregate value of which is equal to or greater than $1,000; (2) without the authorization of the user of the AD, soliciting a person for the purpose of offering, or selling information regarding or an application to obtain, an AD; or (3) without the authorization of the credit card system member or its agent, causing or arranging for another person to present to the member or its agent for payment evidence or records of transactions made by an AD.