We came to this restaurant based upon a recommendation of our hotel's receptionis in Imerovigli, she said "Anogi has to be one of the best restaunrants in Santorini", so there we went to pay them a visit.
We had the burger, that was HUGE, erase from your mind any sort of burger you have seen so far this will double it. Very tasty. And grilled shrimps, fresh and good quantity.
The service was delightful, the only downside was the lack of fans, which made us cut short the lunch since it was extremely hot.
Would come back but probably at night.