Off-the-Beaten-Path Travel Experiences

I'm visiting [destination] for [duration] in [month] and want to experience it beyond the typical tourist attractions. I've already planned to see [list major attractions you've already included]. I'm particularly interested in [local culture/food/history/nature/art/etc.] and enjoy [relevant activities]. Please suggest unique, authentic experiences that most tourists miss, including: 
1) Hidden gems and local spots, 
2) Unique cultural experiences, 
3) Off-the-beaten-path neighborhoods to explore, 
4) Local events or festivals happening during my visit, 
5) Authentic food experiences beyond tourist restaurants, and 
6) Opportunities to meaningfully connect with locals or the local culture.