et98 said:
I love Munich and the Bavarian region just to the south. Garmisch feels like a fake town from a postcard, but it's real. Choosing it as one of your places to stay was a great decision. Below are my suggestions from Garmisch to Fussen & back up to Munich and in the surrounding area.
Hitler's Eagles Nest -- It's a little out of the way, but it's worth it. It's the #1 spot to see in my opinion. If you can fit it in (may cost you most of day), and I suggest that you do, you won't regret it. It's arguably the most beautiful place I've ever seen. Hitler owned Europe and could pick anywhere on the continent to build his get-away spot. Don't you think he'd choose the most beautiful spot? And you'll learn a lot, too.
Neuschwanstein Castle -- No brainer. Nothing to add here that you don't know already.
Linderhof Palace -- The most ornate & lavish palace in Bavaria and likely second only to Versailles in all of Europe. You have waaaaaaay more access than Versailles with almost no crowd. The oustside grounds are amazing as well, especially if you get a chance to check out the grotto. "The Mad King" Ludwig II was truly a nutjob, and this palace paints a very clear picture of what that means.
Partnach Gorge -- Just north of Garmisch. Amazing canyon cut out by a raging river, like a long narrow cave with continuous rapids on the side. Very unique. There is a little hiking involved through, up to and down from the gorge if I recall, but it's not bad. It's worth the hour or two of your time and was arguably the most underrated & surprising sites in the area. Wear a poncho.
Dachau Concentration Camp -- From Munich, a 30-minute train ride and short 10 minute bus ride (or just drive) will take you to Dachau. Concentration camps are never going to be the "fun" part of your trip, but everyone should see it at some point in their life.
Andechs Monastery -- Located between Neuschwanstein and Munich. Ornate cathedral on a hill. Lots of access. Like other places all over Bavaria, there's a huge beer garden where you can eat, drink, and be merry with tons of close friends you've never met before and will never see again. If you're pressed for time and know you'll be hitting other monasteries and beer gardens, it's skippable I suppose, but for me it was definitely worth the stop. You gotta eat somewhere, you might as well enjoy the experience.
Zugspitze (highest peak in Bavaria) -- Cool cable car ride up to the top. Absolutely beautiful. Just takes a lot of time that you may not have, especially if you visit the Eagle's Nest.
Monestary of Ettal -- If you pass by it, and you likely will on your way to or from Linderhof Palace, it's worth a few minutes of your time. But I wouldn't go out of my way to see it.
This is a really solid list. The nearest town to Eagles Nest is Berchtesgaden, which is a really adorable and picturesque Bavarian town. If I'm ever rich, I'm buying a home there. If you go, go spend some time walking around Hinter-See or go for a hike around Konigsee. St Sebastian's church (which is on the way to Hintersee), is a really pretty church. Go find a beer garden, get a big beer, and eat a Jager Schnitzel after walking around the alps all day. As et98 stated, it's just a gorgeous part of the country.
Neuschwanstein and Andechs Monestary are both beautiful as well. You can knock them out together. If you're pressed for time, I'd skip the monastery over the castle, personally.
At the base of the Zugspitze is Eibsee, which is a gorgeous and picturesque lake. One of my favorite lakes in Germany (Plansee, just across the border in Switzerland, is really pretty, too).
Another recommendation for Dachau. My grandfather helped liberate that particular concentration camp, it was a pretty humbling and surreal experience to walk around there.
Rothenburg is really great (NW of Munich). It's a small village and a slow change of pace. Regensburg is nice and quaint. Nuremberg is another solid visit however it's a big city. I wouldn't recommend it
and Munich unless you have a ton of time.