Malshej Ghat is nearby you can visit that. Also, you can go to Ashoka Waterfall, amazing falls, you will love it and can enjoy showers under this falls. Ashoka Falls are near Igatpuri, you can easily visit and come back to Nasik by evening.
Since everyone here have mentioned some or the other places I would recommend you some local food. sweets from budha halwai
Nandan k Pani Puri
sadhna misal
sham sundar misal Hope this helps you.