Mondkalb: Desktop Dungeons has dwarfs, among other races. You have to use dwarf heroes in some dungeons, mostly you are free to choose from the races. The innate abilities of the races usually determine which to choose for a certain class or task. Dwarfs get a bonus on hitpoints.
Also, most roguelike games feature dwarfs as a playable race.
I also recommend Heroes of Might and Magic V, Hammers of Fate. The Dwarfs are fun to play, they get rune magic. The underground environments convey a sense of Moria-like stone halls and grandness.
Glad that you mentioned this as i necro the thread. I'd LOVE to add Heroes of Might and Magic 7 to this list, but its currently up for vote, and they're up against the Elves. And we all know how popular elves are for whatever reason. Need as many Dwarf votes as possible.