Your Bremer Island Day Tour Experience. Departure and arrival times from Nhulunbuy are variable to suit the tides. A fast boat ride will take you across to Bremer Island to arriving 45 minutes later at the beautiful Banubanu Beach Retreat. Meals and drinks can be purchased from our Licensed restaurant. No alcohol is permitted on Bremer Island. A perfect day for families and spirited travellers, and those that have an interest in a real Top End experience.