Snorkeling, scuba diving, and ocean fishing are all excellent. "Nautilus" (http://bigcornisland.com/...) , an island institution, can arrange any such trips including scuba instruction.
Picnic Beach the picnic center is the cleanest and most beautiful, with fine sand and gentle waves. There are two restaurants, the picnic center which has thatch cabanas to sit under, and Arenas. Arenas has wonderful white cabanas and will bring food and drinks out to the beach. This beach is great when the sun is shining, but in the evening and when it rains there are tons of sand flies that bite so beware.Most of the tiny and remote beaches are between Sally Peaches and South End. Beware many beaches have litter, plastic bottles and trash scattered about on them.
One can arrange to travel by boat to Little Corn Island, a short easily less than an hour ride away. Anyone with a boat for hire will gladly make the trip.
Snorkeling, Kayak rentals, and both sport fishing and fly fishing are available at "Anastasia's on the Sea." Also available is a snorkeling marine park designed to guide snorkelers to interesting coral formations. For a more personal touch find Dorsey right next to Cevas, look for the sign on the beach that says "First class snorkeling, First class guide. He is a great local guide and some of the best snorkeling on the island is right in front of his house. He will take 2 people out at a time for snorkeling and has great knowledge of the area. He also sells jewelry that he makes and some fruit. He is a wealth of information about the island.
Nightlife, as anywhere else, is mainly on weekends. Weekends here run from Thursday night till Monday morning don't miss the "sexy dance" at Nico's.
Renting a golf cart is a great way to see the island at your own pace. You can get them near the picnic center, and at the Sunrise Hotel. If you go to more remote parts, off the main road, be ready for kids to try and catch a ride with you. If you have the time it is a delightful experience to give them a ride and hear their laughs and excited comments.