If there are no instrument lights, then it could be the ignition switch or the large white gang connector.
:confused
On second thought, the fact that the tail light is OK says that the ignition switch is not the problem. Still ,look at the LWGC.
Before you get too far into it, have a look inside the Yellow gang connector. It is a common problem area on the TL when it comes to lighting. The Yellow/White wire terminal over heats and sometimes causes problems with the other terminals. If nothing there look inside the black connector coming from the right hand switch pod.
Also check the main loom ground connection near the battery. That single spade connector can cause odd things to happen. It easily corrodes - especially in the UK.