Carcassonne is the extremely well-done iOS version of the popular, German-style board game of the same name.
The interface of Carcassonne is a faithful, interactive adaptation of the physical board game, in which players take turns placing small, square tiles to create a medieval landscape with roads, cities, cloisters, and fields. In some ways, the touch-screen Carcassonne is almost superior to the physical game. You can touch and drag tiles into place, rotating them with a tap, and the app highlights legal placement options (and marks with a scratched "X" any squares that can no longer be used). You can also zoom in and out easily, and drag the map around, and you can quickly pull up a list of all remaining tiles. Scoring is determined by where players position a limited supply of small follower tokens (your "Meeples"). The app also includes a solitaire version of the game, essentially a Meeple-less puzzle with a new installment each week.
The game's art, audio, and interface show tremendous attention to detail, right down to the rules and step-by-step tutorial--accompanied by pleasant, patient voice-over instructions. The app makes for a great introduction to the board game, and current Carcassonne fans will find a lot to like in this adaptation, especially the extensive multiplayer options. You can play against a variety of computer opponents (with Easy, Strong, Weird, and Evil skill settings), and Carcassonne makes human multiplayer easy--over Wi-Fi or Bluetooth, or with Push notifications for asynchronous turns.