How can I connect my S3 to my PC without a SIM card?

[AC Question]

I just like keeping it because it has all of my music on it

 

[B. Diddy]

Welcome to Android Central! Connect with a USB cable. The SIM card shouldn't matter. If you don't have a SIM card, put the phone in Airplane Mode to turn off the cell radio (you can still turn on wi-fi or Bluetooth afterwards).