Here are some suggestions for day trips from Munich.
My favorite is to take the S8 southwestbound to the end of the line at Herrsching. Walk a couple hundred meters to the lakefront and board one of the stately paddlewheel ships which cross the Ammersee to my favorite untouristed Bavarian village, Dießen am Ammersee. Dießen is a popular destination for German weekenders, but it's not on the international tourist grid at all. Walk through Dießen up to the baroque-rococo Marienmünster Abbey (1730). Return to Herrsching by ship and take a taxi or bus, or walk three miles up a forested trail, to Kloster Andechs, where Benedictine monks have been brewing great beer since the 15th Century. (Photos of Herrsching, Dießen and Andechs here)
Or take S1 about 20 minutes from Hauptbahnhof to Oberschleißheim, and visit the magnificent, colorful Schleißheim Palaces, summer home of the Bavarian royal family. Aviation history buffs will enjoy Flugwerft Schleißheim (aviation branch of the Deutsches Museum), a short walk from the Schleißheim Palaces.
Tourists have yet to discover Ingolstadt, a charming, friendly town about halfway between Munich and Nürnberg. There are many historic buildings in the old center, including the former Anatomy Building of the University of Ingolstadt, now the German Museum of Medical History. Gardens in the courtyard are made up of medicinal herbs and plants. The building was the setting for Mary Shelley's original 1818 novel Frankenstein. Tours are available of the Audi factory, just outside the old center. Ingolstadt self-guided walking tour available here.
In Munich itself, the self-guided walking tour in Rick's Germany guidebook is excellent. It can take anywhere from two hours to two days, depending on your level of interest and curiosity.
For insight into Munich's dramatic role in the rise and fall of the Third Reich, visit the new NS Doku-Zentrum, which just opened last May. It's on Briennerstraße, on the site of the Third-Reich-era Nazi headquarters building. Führerbau (Hitler's office building, where the 1938 Munich Accord was signed) is next door, repurposed as a High School for Music and Theater. Historic Königsplatz is across the street. The City's website offers free downloadable maps and audioguides for self-guided walks tracing the history of National Socialism in Munich.