Drams in Mehrauli, Limitless at Ansal Plaza, Plum By Bent Chair in Janpath, Mia Bella in HKV and Pho King in Champa Gali must definitely be on your list!
Any cafe or restro at champa gali
Caffe lota or uh can go road House cafe
You can check out Banter at Rajinder Nagar, it has got live music playing all the time and the ambience & food are also nice. Also, you can go for Public Affair in Khan Market, Diggin in Chanakyapuri and Cafe Wink in Anand Vihar.