Dice Only Inform The Result

Considering that almost everything in these games is decided by rolling dice, the novelty of playing will eventually wear off. But what makes that worse is when people only care whether their rolls succeed or fail. Now, admittedly, when you're trying to win, you mostly care whether or not you won. But remember that this is a story; you should really be caring about what's happening.

Dice only inform the result of your actions. They say whether you passed or failed, but they don't tell you how it happened. This is where a good GM comes in. If a player tries to pick somebody's pocket and fails, why did it fail? Was the pocket too tight to get a hand in? Was the object inside oddly shaped? Did the character simply not feel anything inside the pocket?

Similarly, if somebody takes a swing at a character, and misses, why did it miss? Did it glance off of armor? Did the attacker misstep? Did the defender duck out of the way or deflect the attack? A wide range of possibilities exist, and picking one (and picking different ones over time) adds to the experience of playing these games and hearing these stories.