*I'm guessing that most kids whose parents aren't bothering with the school work also aren't creating a huge variety of amazing 'learning away from the desk' opportunities, where their children will actually do some actual concrete learning, each day either. (I certainly couldn't be arsed with that each day!)
Baking and den building seem to be the go-to 'yeah my kids are learning innit' activities, but there is only so much of either of those things a child can do and only so much they can learn from doing it for weeks on end!*
Generally you can be quite child led and facilitate the opportunities they create. In the same way as you don’t need to create opportunities for them to learn to walk and talk when they’re younger. They absorb language etc.
List of things mine have done, off the op of my head:
Board games:
Ingenious, monopoly, chess, droughts, guess who, connect 4, orchard toys games. (I have a range of ages), scrabble, dobble, upwords.
Tons of baking.
Played with a science kit.
Read a book about chess strategies
Coding online on scratch
Read a whole box set of books
Started learning to play the keyboard with an online app
Collected shells and looked for sea creatures (we live near the beach)
Cooked a meal inspired by another country.
Watched documentaries
Bike ride
Walks
Ball games
Chalking on the patio
Painting, oil pastels, loads of craft.
A DNA science kit
An electronics kit
Minecraft
Kept a diary
Designed their dream home
Written a poem for a competition
Looked at different parts of a plant.
It’s brilliant being able to use the opportunity to let them learn differently and have a bit of time learning organically.
There’s probably more, I just don’t remember it.