Samsung Galaxy S4 UK EE Direct Unlock done.. 
UNLOCK INSTRUCTIONS:
Micro-USB cable:
1. Phone must be powered on.
2. Type *#0808# and select 'DM+MODEM+ADB'.
3. Type *#9090# and choose 'DM/DUN over HSIC'.
4. Reboot phone.
Or use 'Activate Diag' function from 'Repair' tab.
5. Connect USB cable, install drivers if needed.
6. Select Samsung diagnostic port in port settings.
7. Press 'Unlock' button for direct unlock.
Operation: Unlock
Selected model: GT-I9505
Selected port: COM198 SAMSUNG Mobile USB Serial Port
Software version: 24.4
Reading phone info...
Reading IMEI... OK
IMEI: 35866105750XXXX
Unlocking... OK
Reseting... OK
Unlock done
Done with Samsung Tool PRO v.24.4