In 1662, the Bavarian Wittelsbach family decided to build a castle all their own, and they proceeded to add outhouses and extra wings until the early 1900s. The result is a grand palace of a place, approached (by tram to the eponymous stop on line 12) via a long gravel drive which splits into two to encircle a lake of ducks, geese and swans and then a manicured lawn with gushing fountain, in front of the long, symmetrical white building with a sweeping central stone staircase -- all with a distinctly Versailles-esque feeling -- right down to the larger-than-life golden crowns atop the corners of the staircase.
You can buy a variety of ticket combinations -- either the palace itself (including the "Gallery of Beauties," a collection of 36 portraits of King Ludwig I's alleged mistresses, or those who caught his eye and favours, from princesses to a cobbler's daughter) for €3.50, or the hunting lodge (Amelienburg), plus the bathing house (Badenburg) and pavilions (Magdalenenklause and Pagodenburg) for an additional €3.50 (or separate entry to each is about €1-2). The palace's quite beautiful grounds are freely accessible until about dusk, and there is a coffeehouse/snack bar to the right of the grounds (Palmen Cafe) for a rest, coffee, and cake or ice cream.
As you enter the main palace by climbing the stone stairs, the first room is perhaps the most overpowering and striking -- gleaming white walls with grand windows through arches and pillars, crystal chandeliers, and a vast, breathtaking Zimmermann ceiling fresco depicting the gods (Flora, Venus, Diana, Apollo, Mercury, Minerva, Bacchus...); the room is a Rococo-fest of mirrors and gilt-framed pictures, looking right through to the gardens at the rear. Fortunately, there are benches for you to sit and wonder at the opulence and magnificence of the whole affair.
From here, to the left is the wing where the lady of the house lived, and to the right, her husband, including bedrooms, salons and receiving rooms, dining rooms et al, all with gloriously silk-damask walls, carved furniture, canopied beds, paintings (both portrait and some very fine period landscapes) and tapestries, velvet curtains. There are mini-exhibitions of porcelain and a coachhouse containing Ludwig's sleighs and carriages.
Beyond the palace, the Amelienburg is a sumptuous hunting lodge, even containing a mini-Hall of Mirrors; the Magdalenenklause (1728), a ruined hermitage retreat, complete with grotto; the Pagodenburg (1719), a chinoiserie party house; the Badenburg (1721), a Baroque bathing house with pool (with underwater benches).
You can hire audio sets for tours €3 or buy mini-guidebooks for 2.50 as a lasting souvenir. Photography is allowed without flash.