A good project to get started - learn how to turn on or blink a single LED.
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Use buttons and multiple LEDs to build your own Jeopardy interface.
Use analog components to create a smart lamp that only turns on when it gets dark outside.
Control the pitch of a speaker by using a slide potentiometer.
Detect intruders with a photoresistor and warn them off with an obnoxious alarm.
Play your own simple melodies on a light-up keyboard.