> varied tasks
That's where I'd argue. It would be like saying you're an all around gamer when you play only chess but with different openings every time.
Varied simple tasks would be doing some Euler problems, doing some basic algorithms (Dijkstra's with Heap, A* pathfinder on a 2d map, etc... TopCoder problems are great for this), write a Mandelbrot zoomer, Conway's Life app with position setup and step-through and save/load, write a Tetris clone, write a basic HTML form builder, write a blogging engine, write a multi-user chat room server, write a simple side-scrolling shooter game, write a basic Roguelike game, write a simple text adventure. Things like this can all be afternoon projects.
Every time I read someone claiming that Project Euler is for developing general-purpose programming, I roll my eyes more than a little.