Day 1: Visit Siddhivinayak Temple, Haji Ali Dargah, Mahalaxmi Temple, visit Gateway of India and take a boat ride there to see the amazing views of Gateway of India and Hotel Taj, Also do some shopping at Colaba Causeway and visit nearby Leopold cafe for some quick bites.
Day 2: Head to Bandra to do some shopping at Hill Road, Linking Road and Fashion Street, than visit bunglows of famous Actors which are mostly located in Juhu and Bandra, or you can prebook tickets to visit Filmcity where you can see various things about shooting and even get a chance to see live shoots or meet with some actors, in the evening don't miss the sunset at Juhu beach or Girgaon chowpatty followed by some snacks especially Pav-Bhaji at beach side.
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In Mumbai although two days will not be enough but still you can visit south mumbai-gateway of India,colaba causeway(best shopping & cheapest for clothes and jwellery)..
If you reach colaba early morning tou can take ferry to elephanta caves..this will be worth going..
Don’t miss the sunset at marine drive..the evenings or even if you have time at night just go there and relax for hours..
Then you may go to chowpati or juhu beach..
Visit Haji ali for spiritual experience..
If have time then also then explore around kalaghoda..the shops have heritage touch..walk to library etc..dm for details
Prince Of Wales Museum
Gateway of India
Chhatrapati Shivaji Terminus / Victoria Terminus
Chowpatty Beach / Girgaon Chowpatty
Sri Siddhivinayak Temple
Bandra - Worli Sea Link
Haji Ali Dargah
Hanging Gardens / Kamla Nehru Park Also check out the below link: https://www.tripsavvy.com/two-days-in-mumbai-itinerary-4154311