It goes without saying that you can do all kinds of fun things with Arduino. We certainly thought this Arduino Robot Arm by yhtomitsy was interesting. The developer has now added Bluetooth capability to this robotic arm. You are going to need a HC-06 Bluetooth module, a SSC-32 servo shield, and an Arduino Uno or Due to get started.
You may want to check the project page on Instructables to get a clear idea how to pull this off. Looks like a fun project for Arduino fans though.
[Source: Arduino Hacks]