Who are the top debit card and check processing companies in Europe
and Asia?  (ie. who does amazon, ebay and other top companies use?)

Hey cvc-ga,

First Data appears to be "Europe's leading independent third-party
credit and debit card transaction processor." From this document:

http://www.firstdata.com/Pages/News/5301.jsp

TSYS "is the largest processor of international card payments, to
include credit, debit, commercial, private-label, stored-value and
chip cards," according to this document:

http://www.tsys.com/news/index.cfm?PageID=48#europe

Here's a list indicating the companies growing the fastest in the US
market. Many of these may be leaders in Europe and Asia:

http://www.nilsonreport.com/issues/2002/758.htm

A potentially useful source of data is found in the Nilson Reort:

http://www.nilsonreport.com/

I searched on terms like:

europe asia bankcard processors

Hope this helps.

mmi-ga

While I am still researching this same topic, it seems that the
recommended companies that I have researched who provide processing to
people such as Amazon and other online companies include Paymentech,
BIBIT, Netgiro, Global Collect.