Alpha Rex
Alpha Rex is a Lego Mindstorms robot and the main model that most kids -- and adults -- want to build with the Lego Mindstorms NXT kit. Specifically, Alpha Rex is a humanoid, bipedal robot that can walk like a human, on two legs. The legs have built-in rotation sensors on the two servo motors powering them. The NXT brick is an essential component of Alpha Rex, and you can use it to program the robot to move very precisely.
Clock
According to the Lego Mindstorms official website, you can make a classic clock with your NXT brick. The instructions run to 64 pages, but true to Lego's underlying principle of trying to make their products accessible to Lego fans across the globe, the building instructions are graphic-based rather than text-based. The classic clock building instructions booklet consists of a superb series of meticulous technical drawings showing every part required, in what quantity, and detailing precisely how they all fit together.
Spike
Spike the scorpion is another popular robot that people like to make using the Lego Mindstorms kit. Unlike a real scorpion, which has eight legs, Spike has six legs, but this can be an educational discussion point with kids. The design is such that Spike's tail is held erect, like a real scorpion's. Using the NXT brick, you can program Spike to crawl and use sound and touch sensors. Spike has pincers and a touch sensor stinger that you can control using the brick's microprocessor.
Other
You can also use the NXT brick to make and program the RoboArm T-56, a machine that replicates a sophisticated robotic arm of the type used in modern factories and manufacturing plants. You can use RoboArm T-56 to find, grab and lift up objects with its claw. The TriBot vehicle is a three-wheeled robot that you can drive using the NXT brick. You can program four different sensors to make the TriBot drive along a line, grab a ball and follow sound commands.