Dice rolling is a game by itself see Yahtzee or Craps but as a game mechanic dice rolling in a game can be used for many things, randomness being the most obvious. Dice can also be used as counters; start at 6 (for a normal die: singular for dice) and turn it to 5 at the end of a round, single player's turn etc. The dice themselves can be unique and different sizes, shapes and colors to represent different things.
http://www.ranker.com/list/best-dice-rolling-tabletop-games/meeplemechanic,
Arkham Horror
Small World
Kingsburg
Stone Age
The Settlers of Catan
King of Tokyo
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