One of the things I like about data recovery jobs is that each one is different. Right now I'm wrestling with this problem: how can I recover whatever is possible from a backup that's missing a handful of xlog files. We know this will result in a probably corrupt database, but we still want to see what data is available.
My first two approaches didn't work too well. I tried mangling the control file, and creating dummy xlog files to replace the handful that are missing.
Right now I'm trying to follow a suggestion from Andres Freund to drive the process via the debugger, moving it on to the next available log file when it gets to where it would want the first missing log file. The trouble is it's hard to find what to set exactly and where to set it (this is Postgres 9.3). Every time I try something I get errors like "unexpected page_addr". If I were more familiar with this section of the code it might be easier, but it's something I've pretty much never dabbled in.
It all makes for an exciting life.