That all these functionally-unrelated systems are failing at the same time points to a global electrical fault - as the previous posters suggested, portions of the circuit that are common to pretty much everything.
Get the FACTORY TSM schematic, follow the lines, then (and I know this is going to sound really unscientific) start wiggling stuff. That the radio is failing should be a big help - you can turn it on, lift the hood, and push wires around (and remove/reinsert relays and fuses) until you replicate the failure. As suggested, the problem is probably in the main power distribution area. (A few months ago I chased down a similarly transient failure in my 2002 Forester ABS - it was caused by a corroded fuse termination in the fuse/relay box.) As you remove each fuse and relay, look down into the terminals, and if they aren't clean and bright you're probably getting close.
This is very much a DIY thing, because chasing down intermittent electrical failures is more a job for time and patience than it is of skill, and you could easily get into thousands worth of shop time if it's a nasty one.