Nearby Watkins Glen is a popular destination. Road racing, vintage events and SCCA regional racing make for a full schedule. Niagara Falls and the Baseball Hall of Fame in Cooperstown are each about a 2.5-hour drive, if you have the time. Local golf is flourishing with smaller crowds and lower fees than you probably see at home. You may contact them directly regarding price and availability.
Tennis is available for free at the local schools.
The courts are new and available. Ithaca, home of Cornell University and Ithaca College , supports a very active summer theater program. The Hangar Theatre is a favorite. The north end of Cayuga Lake is home to the Montezuma National Wildlife Refuge. Most recently, it was carrying a Canada goose in its claws.