By that, do you mean banks, payment networks or both? And I guess I'd be curious as to why mainframes versus the rest. It seems like the answer for "why" is mainly because it started on mainframes and the cost of switching is really high, but I wonder if there isn't more to it.
Edit: Oh yeah, just saw MasterCard has some job posting for IBM Mainframe/COBOL positions. Fascinating.
Not just that. Most operating systems lie about when an IO transaction completes for performance reasons. So if you lose power or the IO device dies you still think it succeeded. A mainframe doesn't do that... it also multiplexes the IO so it happens more than once so if one adapter fails it keeps going. The resiliency is the main use case in many situations. That said IME 99.995% of use cases don't need a mainframe. They just don't need to be that reliable if they can fail gracefully.
Edit: Oh yeah, just saw MasterCard has some job posting for IBM Mainframe/COBOL positions. Fascinating.