Is there any achievement that gives out rewards?

Question

In World of Warcraft there are various achievements that give out a reward other than the Achievement Points, be it a title, a pet, or a mount. Is there something similar in Diablo III?

I know that pets and mounts won't be available in Sanctuary, but I was thinking about something like a worthless item related to the lore, or a physical modification that has no impact on stats. I could even be happy with a stone that says "Hi!" with Deckard Cain's voice every time it's clicked!

Answer 1

Yes, there are achievements that reward you with shapes, patterns, sigils and accents (images that appears on your banner).

Here is an example: The Art of Conversation achievement.

Or this one: Slice of Life achievement.

Answer 2

You can tell if an achievement has a reward with just a glance in the achievement window. The small star icon indicates the number of rewards the achievement has.

In the example below, the Scavenger achievement has 6 rewards because there are 8 levels of the achievement. All but the first and seventh level have rewards.