You can visit the St. Georgenkirche (Church of St. George), Burgplatz 1 (tel. 02622/3810), daily from 8am to 6pm. The gable of the church is adorned with more than 100 heraldic shields of the Hapsburgs. It's noted for its handsome interior, decorated in the late-Gothic style.
Neukloster, Neuklostergasse 1 (tel. 02622/23102), a Cistercian abbey, was founded in 1250 and reconstructed in the 18th century. The Neuklosterkirche (New Abbey Church), near the Hauptplatz, is Gothic and has a beautiful choir. It contains the tomb of Empress Eleanor of Portugal, wife of Friedrich III and mother of Maximilian I. Mozart's Requiem was first presented here in 1793. Admission is free, and it's open Monday to Friday from 9am to noon and 2 to 5pm.
Liebfrauenkirche, Domplatz (tel. 02622/23202), was once the headquarters of an Episcopal see. It's graced by a 13th-century Romanesque nave, but the choir is Gothic. The west towers have been rebuilt. Admission is free, and the church is open daily from 8am to noon and 2 to 6pm.
In the town is a Recturm, Babenberger Ring (tel. 02622/27924), a Gothic tower said to have been built with the ransom money paid for Richard the Lion-Hearted. It's open from March to October Tuesday to Thursday from 10am to noon and 2 to 4pm, and Saturday and Sunday from 10am to noon only. Admission is free.