Buildcircuit.com has a good list of beginner-level electronics projects, including an automatic darkness sensor, a clap switch and a simple remote tester. Instructables also offers guides to a number of easy electronics projects, such as a chapstick LED flashlight, a fruit clock and a wire loop game.
Many popular electronics projects for beginners center around the construction of tone generators, light sensors and noise detectors. Starting Electronics, Build Circuit, and Instructables all have lists of popular starter projects based on these concepts and more. Breadboarding, the process of creating a circuit without the use of soldering, should be learned before attempting any of these home electronics projects.