Offtopic: I don't see any new developments. Maybe I'm just blind. :P
Here are more polished guides focused on the AppSnapp method. It's the most favored method for jailbreaking/activating/assisting to unlock your locked 1.1.1 iPhone, since it doesn't require a computer.
Due to some bugs YouTube doesn't seem to work for some folks. Unconfirmed: SIM swapping doesn't work. To fix these niggling problems, you do require a computer unfortunately.
The guidesJailbreaking, activation, AppSnapp Installer, and anySIM unlocking @ Hack the iPhone - This is an update of yesterday's guide. I was lucky to have caught it as it was just updated by the author. It includes unlocking steps now.
I have added the ultimate tutorial. It will take you from fresh out of the box to jailbroken, activated, with AppSnap Installer installed and SIM unlocked in less than half an hour. It does NOT require a computer! It does not get any easier than this. - Mark @ Hack the iPhone
v1.1.1 Jailbreaking, Unlocking, Activating, 300mb, Youtube, Keyboard’s correction @ Hackint0sh - After unlocking with AppSnapp, you may face some problems. This thread tackles some of them. Obviously, you should proceed only if you do experience them.
Fix crashing after unlocking - If you didn't turn off 'Dim wallpaper', you may encounter this.