I got an old mobile telephone off ebay a couple of years ago. It works fine with no SIM card, but when I put a SIM card in, it says 'Searching', then changes to 'Registering', then turns itself off.
I can't see any explanation for this, so I was wondering, could it be that the telephone's IMEI is blacklisted by the network(s)? Personally, I would have expected an error message or similar, but I think I read somewhere that they can just turn off when this happens.