We visited Goa in the second week of June. We stayed at the Royal Goan Beach Club at Monterio. I have put up the review for the resort here.
Couple of good spots which we discovered (had missed in all our previous trips) were
Goa Kala Academy: This is a great place to spend your evening. The place is very clean, has lots of benches available for sitting/relaxing and a continuous cool breeze. We reached the place at around 2 in the afternoon and still enjoyed it.
Candolim Beach: The thing that strikes you immediately when you come to this beach is an old boat that has got washed ashore during a storm. This is a quiet beach in North Goa. Saw very few people here.
Saw a lot of kingfishers in Goa. Below is the best photo that i could manage.