I used to hate dishes, but then I discovered that if you simply fill the sink with the hottest water imaginable and some soap and let them soak for 30 minutes or more they practically clean themselves. Helps when you rinse stuff off after using it too.
Vacuuming for me. I hate taking out the garbage too, but vacuuming is the bane of my existence. In part because my wife and I seem to be pack rats and the apartment is generally a disorganized mess making the job even harder than it needs to be.