If art and culture is what you're looking for, Bains District has it all. It has a number of galleries and proudly houses MAMCO, the extremely popular contemporary art museum.
Bains District or Quartier des Bains is a great place for art lovers. Slightly off Plainpalais, it includes the Centre d'Art Contemporain Geneve, MAMCO, a whopping total of 12 galleries and a number of other events. There are also tons of cool eateries in the form of bistros and bars, in Quartier des Bains - Caf_ des Bains and Caf_ de la Presse being popular ones. The most popular phenomenon here is La Nuit des Bains, a platform to discuss and discover art, held thrice a year.