The soaring white sails of the Jørn Utzon–designed Sydney Opera House have a commanding presence on the foreshore of Sydney Harbour. For all the drama of the building’s exterior, it’s easy to forget that the interior is home to a world-class performing arts venue. Consider experiencing the Sydney Opera House the way it was intended—by attending a show.

Historically a maritime city, Sydney has plenty of options for getting out onto the water. The Sydney Ferries network is a critical link in the city’s public transportation system and a great way to explore the harbor. The 20-minute trip from Circular Quay to Darling Harbour passes beneath the Harbour Bridge and goes around the Opera House. If you’d prefer an interpretive experience, opt for a hop-on hop-off sightseeing cruise or treat yourself to a dinner cruise.

Just 5 miles (8 kilometers) from the city center, Bondi Beach is a Sydney landmark and one of the world’s greatest beaches. Blessed with powdery sand and warm turquoise waters, Bondi is an alluring place to pass the day away sunbathing and people-watching. It’s also a great place to catch some waves during a surfing lesson. After soaking up some sun and relaxing on the sand, stretch your legs by embarking on a coastal walk from Bondi Beach to Bronte or Coogee.

A leafy oasis, Sydney’s Royal Botanic Garden and the Domain, its neighboring park, stretch along the shores of Sydney Harbour. The garden’s exotic plants, glasshouses, and shady picnic spots are situated on 74 acres (30 hectares) against the backdrop of the Sydney Opera House. Before the garden was established in 1816, the land here was an important ceremonial site for the Gadigal (Cadigal) people.

Early colonial settlers and convicts made their homes in precariously built shelters in the Rocks, a small district close to the center. Even today, the area bears traces of its colorful past in its atmospheric lanes lined with historic buildings. Browse for local crafts and sample street food at the weekend Rocks Market; learn more about the city’s history at the Rocks Discovery Museum; or have a pint or two in a historic pub.

If it’s your first time “Down Under,” you’re doubtless keen to meet some of Australia’s native critters. Jump on the ferry to Taronga Zoo, a sprawling sanctuary that is home to more than 4,000 animals from 350 species including koalas, kangaroos, and platypuses. To ehance your experience, go on a behind-the-scenes tour with a zookeeper, or stay overnight at the zoo inside a safari-style tent.

Just like with the Opera House, it’s hard to miss the colossal Sydney Harbour Bridge. But it’s worth getting a closer view of its scale and beauty. Take a walk or cycle across the bridge from the Rocks to Milsons Point; sail or kayak underneath it; or, if you’re feeling adventurous, climb the steel bridge to the summit and enjoy unrivaled harbor views from a height of 440 feet (134 meters).

The golden sands of Manly Beach are just 30 minutes from the center of Sydney via one of the world’s most scenic ferry journeys departing from Circular Quay. It’s well worth spending a day in the lively suburb of Manly, which is home to not only to a beautiful beach with world-class waves, but also a fine selection of bars, restaurants, and entertainment, mostly concentrated along the part-pedestrian mall, The Corso.

Visit the Australian Museum for insights into the remarkable flora, fauna, and cultures of Australia and the Pacific. The museum takes visitors on a journey around the country without leaving Sydney, from the First Nations and Pacific Spirit galleries to the “Surviving Australia” exhibit, which celebrates Australia’s unique wildlife. The museum even journeys deep into the past with its crowd-pleasing fossilized skeletons and life-size casts of dinosaurs, including the Stegosaurus and T.Rex.

Sydney Chinatown is filled to the brim with restaurants, groceries, markets, and unique stores—and it’s the perfect place for a food tour. The pedestrian thoroughfare of Dixon Street is a great spot for a stroll and a bite to eat any time of the year, but really comes alive during the spectacular Lunar New Year celebrations in January or February. It’s also well worth catching a show at the Capitol Theatre, a beautiful heritage-listed venue on Campbell Street.