Pros
Visa pays well and has great benefits (though they seem to be periodically cutting them back for new hires). It has a very strong business model and brand. It is an industry leader in building and operating highly reliable global financial transaction processing systems, so there are opportunities to work with technology and services not found anywhere else. The executive leadership is very committed to increasing share value over the next few years, which is good if stock options and grants are part of your compensation.
Cons
As with most stable, highly profitable companies, the internal politics are extreme. This is exacerbated by the ongoing cost cutting measures impacting job security. Employees cope with it day by day because of the good pay and benefits (and the uncertainties of today's economy) but most working there would agree it's not a positive workplace. Progress is impeded by those protecting their fiefdoms, largely out of fear of losing their jobs. Fear of repercussion stifles communication horizontally and vertically. If you thrive on political skullduggery and have a flair for tiptoeing through corporate minefields, then Visa will be a good fit. If you're results oriented and expect honest and open communication between stakeholders, and up and down the management chain, it will be a frustrating and dangerous place to work, at any level of the company.