The Burgkapelle (Royal Chapel) dates from the 13th century and received a Gothic make-over from 1447 to 1449, but much of this disappeared during the baroque fad. The vaulted wooden statutory survived and is a testament to those Gothic days. This is where the Vienna Boys' Choir sings at Mass each Sunday at 09:15 between September and June. Unfortunately, you can only visit the chapel with a tour guide or during choir performances.

The apartment where Sigmund Freud lived and worked from 1891 until his forced departure from Vienna with the arrival of the Nazis in 1938 is now a museum devoted to the father of psychoanalysis. A number of his possessions are on display, and his obsessions - travelling, smoking and antique collecting - are well represented by Egyptian and Buddhist statues. Only a handful of his many portraits capture him without his trademark half-smoked cigar.

This is the tallest structure in Vienna. You can bungy-jump from it at heights of 150m, 170m and 160m. Two (expensive) revolving restaurants allow the more sedentary to enjoy a fine panorama; consider ascending (by lift) to watch the sunset behind the Wienerwald. The tower stands in the Donaupark.

This sumptuous baroque palace is one of Vienna's most popular attractions. It has 1441-rooms-worth of imperial splendour (of which 40 can be visited), complete with a classically landscaped garden. Additional attractions (with separate entrance fees) include a maze and the world's oldest zoo.

The most beloved and recognisable structure in Vienna is the Gothic masterpiece Stephansdom (St Stephen's Cathedral), or Steffl (little Stephen), as it's known locally. It is the geographical and emotional heart of the city and an unmissable sight.

The prancing Lipizzaner stallions strut their stuff in the opulent surrounds of the Hofburg's Winter Riding School. The stallions perform an equine ballet to a program of classical music, part of a long-established Viennese institution that's truly reminiscent of the old Habsburg era. Pricey, but worth it for horse lovers.

If you're an art buff don't miss the Kunsthistorisches Museum, one of the finest in Europe. The Habsburgs loved to collect, and many goodies found their way back to Vienna from their extensive territories. It's impossible to see the whole museum in one visit, so plan ahead or expect to indulge in repeat excursions.

The old Jewish quarter, Judenplatz, is just off the northeast corner of Am Hof. Here you'll find an attractive square underneath which are excavations of a medieval synagogue, a museum documenting the tumultuous history of Jews in Vienna, and a memorial to Austrian Jews who perished in the Holocaust.

Dominating the Prater is the Riesenrad (Ferris Wheel), one of Vienna's eternal symbols. Built in 1897 by Englishman Walter B Basset, the 65m-high wheel takes about 20 minutes to rotate its 430-tonne weight full-circle, ample time to snap some fantastic shots of the city. It survived bombing in 1945 and recently received a make-over including dramatic lighting and a café at its base.

Also known as the Museum of Medical History, the Josephinum has a bizarre but fascinating collection of 200-year-old ceroplastic and wax models of the human frame, detailing the body under the skin in gory detail. Other exhibits include arcane instruments and detailed accounts of highly unpleasant looking medical operations.