The Gov is an Adelaide must. One of the few live music venues in the state. They have gigs most weekends catering to a variety of genres. Easy to get to by public transport means you can enjoy your night out.
There is a good restaurant here that caters to food allergies. As a bonus they are opposite the entertainment centre. Good to get a meal before a show for either venue. They were able to make me a great and tasty gluten free meal and had dairy free and veg/vegan options.