BOK is my favourite place to go for lunch. They offer sushi and a few other Asian dishes, most of them can be ordered vegan/vegetarian to. I especially recommend Tori Bento.
It's a dirty fucked-up place where all kinds of people meet from members of parliament (which is around the corner) to real bums. Recommended drink: "Koksi" (like coke), that's 80% rum with coffee beans and sugar.
If you are in Innsbruck (probably another Vice Party or Air + Style) and your hotel's breakfast sucks Cafe Katzung will cater your needs. Order "Vital Frühstück" it simply contains every item on the menu, so you'll get all the fat and vitamins you haven't been looking for.
This gay little place is not really easy to get to but it's definitely worth the trip. The Forstwirt is run by Luis and Lois, the later being an extraordinary chef. There's no other personnel and no menu. You'll have to take whatever is prepared that day. Usually this comprises soup, salad, a large chunk of meat and desert.
great food where no drop of oil is spilled. if you ever chose to eat polenta there, make sure you do exercise afterwards and skip desert. it will keep hunger away for days.
other than that oysters, schilcher sturm, excellent desserts...