Same issue with 'NO SIM CARD' Maybe a list of some possible causes would help. Our service is with Verizon in rural Arizona 3G only
1. My wife and I received our iPhone 5's on Friday, September 21. My wife has a black 16Gb phone and no problems.
2. Mine is a white 16Gb. On the morning after I charged it I had the 'NO SIM CARD' error. My wife suggested the paper clip and I just opended the sim door but did not remove it.
3. Sunday nigth I had the phone turned off before I charged it. There was no problem Monday morning.
4. Last night I had the phone on and connected it to the charger.
5. This morning 'NO SIM CARD' I tried many things. Reboot and went outside. First searching, then NO SERVICE then went to NO SIM CARD. Opended SIM port and reset card. No luck. Opened port again and slide out SIM tray. SIM card fell into kitchen utensil drawer. Set card in try, (it is a loose fit) and closed tray. STILL NO LUCK. Finally I tried resetting the tray, went outside and had serivce after about a minute.
6. Still working after 2 hours. I will only recharge now if phone is turned off and see if that is a factor.
7. Nearest Verizon store is over an hour away and an Apple stor is two hours away.
8. A new SIM card may be in my future.
Hope this helps. This is my first iPhone and I am a big fan of Apple. Hope this issue gets resolved. The phone is great otherwise and beats my old Droid hands down.