Realize that ebay own's Paypal so they push users to use their system.
If you are an Australian ebay user then Paymate is a great solution.
If you are a Canadian ebay user then CertaPay is great.
If you are a UK ebay usere then Nochex is great.
US ebay users and International Users can all use RevolutionMoneyExchange with a US Bank Account.
A Merchant Account & Gateway is the best solution to selling on ebay without Paypal and wanting to accept credit cards.
Accepted Payments Policy
eBay wants to ensure that the marketplace offers buyers an array of safe, appropriate, and convenient payment choices for the marketplace. As described in our safe buying guide, eBay strongly encourages sellers to offer payments through PayPal – PayPal is not only convenient to use, but it also offers buyers and sellers industry leading protection against fraud, chargebacks and theft of financial data. Merchants with their own merchant credit card processing account, and those who use a third-party credit card processor, may also offer their buyers the option of paying directly with a credit card online (including through third party checkout) or by phone.
From time to time, as new payment services arise, eBay will evaluate them to determine whether they are appropriate for the marketplace. Payment services that are not permitted on eBay may, in fact, be outstanding services for consumers in other contexts. eBay’s evaluation relates only to whether a particular service is appropriate for the eBay marketplace. eBay will consider the following factors, among others, in making its determination:
Whether the payment model offers substantial financial, privacy and anti-fraud protection for buyers and sellers
Whether the payment model raises the potential for confusion among eBay users, or involves incentives that may present fraud concerns
Whether the payment model involves precious metals, or other non-cash (points, miles, minutes, coupons,
discounts) as consideration
Whether the payment service has a substantial historical track record of providing safe and reliable financial and/or banking related services (new services without such a track record generally cannot be promoted on eBay)
The identity, background and other business interests of the payment service sponsor
The license/regulatory status of the payment provider in the countries where it provides payment services
Offline payment methods generally do not offer the same level of protection or convenience as online payments. Nonetheless, they may be appropriate for certain types of transactions and sellers may use listings to offer acceptance of most valid financial instruments including personal checks, cashier’s checks, money orders or COD.
Permitted on eBay.com: Sellers may offer to accept PayPal, credit cards including MasterCard/Visa /Amex/Discover, debit cards and bank electronic payments online for eBay purchases. Sellers may also offer to accept bank-to-bank transfers, often known as bank wire transfers or bank cash transfers. Sellers may accept COD (cash on delivery) or cash for in person transactions. Sellers may offer to accept personal checks, money orders, cashier's checks, certified checks and other negotiable instruments. Please see the "Some Examples" section of this policy for those evaluated payment services permitted in the eBay marketplace.
Not permitted on eBay.com: Sellers may not solicit buyers to mail cash. Sellers may not ask buyers to send cash through instant cash transfer services (non-bank, point-to-point cash transfers) such as Western Union or Moneygram. Sellers may not solicit payment through "topping off" of a seller's pre-paid credit or debit card. Finally, sellers may not request payment through online payment methods not specifically permitted in this policy. Please see the "Some Examples" section of this policy for those evaluated payment services not permitted in the eBay marketplace.
Violations of this policy may result in a range of actions including:
Forfeit of eBay fees on cancelled listings