Yank all cards except video, disconnect the hd and try to boot from a floppy.
Personally if I get a dead system I strip it completely apart and make sure nothing looks bad, then reassemble the basic parts to see if it does run, then if it does put each component back in as needed. Look for leaking caps, overheated parts, missing parts, loose parts, etc.
Could be something as simple as a screw inside shorting out some chip lead, blown power supply fuse, batteries inserted backwards (which was what happened to the dead IIfx somebody sent me last year), cable plugged in backwards, etc.
You will also need a decent handheld digital meter to test things as you go along, I am tempted to get a device to test capacitors.