East

East Avenue is an arterial (or perhaps sub-arterial) street that runs North to South on Adelaide's grid of streets.

East Avenue can be found in the region directly south of Adelaide's Western boundary. If you followed it's citybound trajectory without wavering at the junction of the rejuvenated tramway you'd eventually arrive just west of West Terrace.

If you ever want to visit East Avenue you'll need to head to the centre of the suburb of Clarence Park, which East Avenue splits down the middle.

On the plus side, I think it does meet the etymological requirements of an "avenue".