Budget-conscious travelers looking for accommodation in Rushcutters Bay, New South Wales have several options catering specifically to backpackers. Mad Monkey Backpackers Bayswater stands out with its friendly staff, clean common areas, and rooftop terrace for socializing. Hotel 59 Sydney offers affordable accommodations within walking distance of Rushcutters Bay Park and Kings Cross Station. These choices allow backpackers to enjoy the beauty and charm of Rushcutters Bay while staying within their budget.