From 1851 Bürklein was the chief architect of the royal Maximilianstraße in Munich with all its state buildings including the Maximilianeum. Its Neo-Gothic architecture was influenced by the Perpendicular style and was strongly disputed. Before the Maximilianeum was finished Bürklein was replaced by Gottfried Semper.
Bürklein headed the architectural design for the royal Maximilianstraße in Munich from 1851, covering all governmental institutions, including the Maximilianeum. The Neo-Gothic style he employed was shaped by Perpendicular styles and faced considerable opposition. Before the Maximilianeum's completion, Bürklein relinquished his position to Gottfried Semper.