Akademie der Künste (New masters gallery), Dresden
Unfortunately this renowned collection of new masters is currently closed for renovations but some of the works are on display at the Zwinger's Old Master's Gallery. It's been closed since 2006 so hopefully it will re-open soon. When it does be ready for over 2500 works by new masters of the 19th and 20th century leaning heavily on Romantic Period German painters. It is considered one of the most important collections in Germany. Aside from its world renowned collection of 19th and 20th century paintings, its 'Green Vault' is home to one of the finest collections of jewel-studded objects in the world. Part of the museum pass when open though it does not include the Green Vault or other special exhibitions. The pass is 12 Euros for the day for one or 25 Euros for a family pass.
This art museum features painters from the 19th and 20th centrury, including romantic painters like Caspar David Friedrich, Biedermeier paintings from Ludwig Richter and Spitzweg, as well as impressionists like Slevogt, Liebermann etc. Very worthwhile!
This one is my personal favorite. Jewels and compositions from precious stones are its exhibits. The most impressive (and, as a consequence the best known) is 'The Court of Delhi on the Birthday of the Grand Mogul' composition, featuring more than 130 figures. I mean, it's really huge!