Others know way more than I do about Munich, but I'll post my experiences anyway because I like talking about it.
- Hirschgarten: several brands of beer, mackerel on a spit, wash your glass for a 1-€ discount, and pet deer and goats after your meal
- Chinese Tower: in the middle of the beautiful English Garden
- Augustiner: a local favorite
Favorite places to eat/drink in the city:
- Schneider Weisse: had a big multi-course paired dinner here
- Tegerensee: my favorite beer was the "special" Helles, like a Kellerbier
Favorite places to visit just outside the city:
- Kloster Andechs: monastery that brews my favorite Doppelbock
- Ayinger: bucolic brewpub in the small town of Aying
If you like to bike, I recommend Mike's Bike Tours. They speak English (most of them as a first language), and you can do guided or self-guided tours of the whole city. I did both (and you get a discount for repeat business). On my own, I rode up to Nymphenburg Palace, stopped at Hirschgarden, toured the trendy Westend neighborhood, checked out the Oktoberfestplatz, rode down the Isar to a popular swimming hole and took a dip, and then finished things off at the Aumeister Biergarten in the English Garden. Then it started pouring down rain and everybody went for cover.
Here are some photos (you're getting off easy with just four).
Mackerel at Hirschgarten:
Aumeister biergarten in the rain: