Like ommmward, we don't follow any curriculum but just go with whatever interests the children from day to day (an approach which is called "autonomous education" or "unschooling") I have a few friends who do the same, and a few friends who follow a complete curriculum for everything. However, most people I know follow a flexible child-led approach for most subjects and a curriculum for just a few subjects (say, maths, English and history). There are endless variations. You can start out with whatever seems right and then keep experimenting.
As you and ommmward both mentioned, seeing friends is high up my priority list! (Not all kids want or need this, but mine do.) In fact, when my older daughter was young it was the ONLY thing I really made any conscious effort to do. I figured all the academic stuff would come naturally for her, which it has.
We have no typical day, but here is what's on the agenda for today.
6:30am dd2 (8yo) and I take my partner to work followed by breakfast, housework and DIY, which she is helping with. dd1 (15yo) still having a lie-in!
10am Take dd1 to guitar lesson. During her lesson, dd2 and I will do some shopping and other errands. Then drop dd1 off for an afternoon of Minecraft with two 11yo boys.
12:30 dd2 and I collect her 5yo friend and go to the afternoon home ed park play session, where we see half a dozen other friends. I read a book until the other parents arrive, then chat.
2:30pm dd1 gets a lift home from one of the other Minecraft mums, or gets the bus. She's meant to be getting on with some packing and sorting for our house move, but I expect there to be a certain amount of Facebooking going on too.
3:30pm dd1 leaves to go to martial arts on the bus. Because she has plenty of time on her hands and loves it, she does three sessions back to back: first teaching younger kids, then joining in with teens, then the adult session. There is half an hour in there somewhere for her to eat her packed dinner with the few adults who also do all three sessions. Meanwhile...
3:30pm drop dd2's friend home and return to our house. dd2 will probably watch YouTube or play with dolls or her building set while I start dinner.
4:30pm dd2 and I pick my partner up from work. He's a builder, and dd loves to see the transformations which take place on the sites, and ask him all about how he does it.
While I get dinner, dd2 tries to get poor tired dad to play, followed by watching TV - probably the BBC iPlayer documentary series about building a medieval castle (really good - if you didn't see it over Christmas then be sure to watch it now!).
Then dinner and bed for dd2, and time for me to relax. At 9:30 I collect dd1 from martial arts and I'm done for the day. Well that is my plan anyway, but dd1 tends to want to get stuck in to the philosophical discussions, ask me to help her learn something new, or talk about personal issues at this point in the evening!