The ricer method:
Peel, core, and rinse as many apples as you think you will need. Cut them in half or even quarters for large apples, and leave small ones whole. Bake or microwave until soft and warm, and send 'em through your friendly neighborhood ricer. No ricer? No problem.
The microwave method:
Peel and rinse the apples, then cut in half using a heavy chef's knife. This method does not work for the ricer because you need the round shape for maximum squishing, but here is my magical trick for washing less fruit and get the seeds out at the same time: use a metal teaspoon to scoop the area around the seeds out. This leaves you with a lovely little circle that you can use for, well, nothing really. Throw it away. Roughly chop, microwave in a microwave safe bowl, and cook on high for 3-5 minutes or until soft. Sorry, but this time, you do need the masher. Mash away at the apples, finish with cinnamon, and be done.
With both methods, you get minimal effort applesauce that's actually good for you! You can eat it for breakfast, or top with a generous helping of ice cream. Also for breakfast. And now, I patiently await the end of the Monday curse. :)