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Amongst mountain bikers, Freiburg is famous for being close to the Schwarzwald, but also for its own trails which have been installed and are maintained by an association. The first one starts very near the Rosskopf peak. Further information on the association's website.
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On the way up there is a beautiful square called "Kanonenplatz". The view there is nice, but it is still recommended to struggle a bit more uphill to reach the observation tower called the "Schloßbergturm". It takes about 15 minutes from the old city and offers you an amazing view of the Black Forest, Freiburg, the Kaiserstuhl and the Vosges mountain range in France.
Botanischer Garten
Another way to get to the top of Schlossberg is to ride this mountain funicular.
Münster Unserer Lieben Frau
The cathedral is Freiburg's biggest sight in the city, one of the oldest and most beautiful in all of Europe. The gargoyles are not to be missed - be sure to study every corner of the Munster. Make the effort to climb to the top of the tower for the fabulous views (€5) - the entrance is to the side and the cashier is at the top of about 200 stairs. Guided tours are offered, but check the website for more details (also check to see when the cathedral is closed to the public). M-F mornings until 13:00 and Sa until 13:30, there is a market on the square surrounding the church. Visit on Saturday morning, as it then will be the biggest and nicest. Vendors are pleasant and sell local produce and goods. Buy a Bratwurst mit Brötchen (Bratwurst in a bun) or Currywurst for around €3.50. It will be an inexpensive, authentic, and delicious lunch or snack.
Museum of City History
One of two remaining old city gates. The gate is beautifully decorated, including with a large picture painted by Matthias Schwäri in 1572.