We have so many! I love the flexibility. I love that when evening comes, there is NO homework! I love letting them sleep in until they are ready to wake up and stay up late if we're catching fireflies. One of the most unusual things that I love may sound strange, but it's that my children will hear about the bad things in the world directly from me and in a safe environment. We don't watch the news in our house. We don't have cable or satellite TV (we're on a budget! so they don't see TV blurbs or scrolling headlines or commercials. And I love that they don't go to school and hear from this child or that child what they heard from their older brother or parent or cousin or whoever about this or that terrible thing that is happening in the world.
My children don't know about 99% of the bad things that people do to one another in the world. They are 8, 6, and 2. The first time my 8 year old daughter heard of a natural disaster that had claimed human lives was just last week in the context of a geography lesson that touched on the eruption of Mt. St. Helens that occurred in 1980. She was sad about the animals and people that died that day, and we watched a brief age-appropriate video about it together. She got to ask questions. We watched it twice because she asked to. And I knew when she went to bed that night she wasn't scared that it would happen to her (we don't live on an active volcano) but that she had a new understanding that we live in a world where sometimes natural disasters occur and sometimes lives are lost because of them. She was ready for that lesson and she was ready to learn it from her parent.
I know we can't shelter our children forever (I hear this one a lot especially from my family members!), but in today's world, sometimes children are sheltered so little, and I love that homeschooling allows me to introduce them slowly and age-appropriately to the world around them. I hope that makes sense.