This basement karaoke dive resembles a tiki-themed dorm room or a bachelor pad pining for the space age. See the profile of this NYC bar at 9. Situated under Le Midi restaurant, near Union Square, in the heart of Greenwich Village, New York City's Karaoke Cave has a big bar and lounge where you are Private Rooms · Menu · Happy Hour!. Check out the menu for Karaoke Cave. Karaoke Cave by Samas M. on 8/22/ ; Photo taken at Karaoke Cave by Uriel D. on Greenwich Village, New York.