A group of eight of us stayed at Villa Superview Chrysantina for a week in July. The Villa was perfect for a group of our size. It's a beautifully decorated, very spacious and comfortable home. The view is stunning -- the pictures don't do it justice! We especially loved the infinity pool area which is perfect for day or night get togethers. The area around the villa is secluded and surrounded by other luxury villas. You can soak up the sun peacefully, before heading to the day parties/nightlife all around the island.
The host is very helpful and welcoming -- he even helped us get to the airport when we were about to miss a flight because our cab didn't show up... The concierge was very responsive over email if there is anything you need to organize. The housekeeper is extremely friendly and keeps the house clean every single day.
The one thing you must figure out regardless of where you stay in Mykonos is a reliable car service or car rental. Taxis are few and you need a car to get around (the roads are not great for walking).