The most important is of course Sarnath
Other places worth visiting from Varanasi:
You may have close view of the lions, cheetahs, chink arns. wild boars, sambars and nilgais at Chandraprava Wild life Sanctuary (78 Sq km) in the east of Vindhya hills, 79 km from Varanasi and 55 km from Mughalsarai—from November to June. There are two beautiful waterfalls-Rajdari and Devdari.
Contact: Tourist Office, Parade Kothi, Cantonment. Ph: 2341162, Varanasi or DFO. Forest Division, Ramnagar, Varanasi.
Or, you may have a bus trip to Tanda waterfall—in a sylvan setting in the Mirzapur District, 15 km from Varanasi
Windham Waterfall (93 km), Mutha Waterfall and Kaimur Wildlife Sanctuary (500sq km) is 93 km from Varanasi.