I'll recommend Pop_OS as well, but it might be overkill.
It depends on what is meant by "family computer" but don't underestimate the usefulness of a cheap chromebook as well. My wife uses hers exclusively, since using the internet is pretty much the only thing she actually uses a computer for.
The hardware of Chromebooks is more than enough. But as long as I understand something about IT I don't want Google to take away my freedom and lock me out. That would be like a Westerner asking for asylum in China because the party thinks on my behalf.
Not the op, but I guess they meant the hardware specs of a "normal" computer.
Myself I used to buy these little Atoms with eMMC running Windows S. E.g. HP used to have good hardware in that class. Now Windows S has been discontinued and I don't see much choice in the class anymore. Maybe Acer sometimes, but I have zero experience with them.
For Chromebooks there is GalliumOS, but it looks very silent. Not sure whether it is still alive. Last supported model is from 2019.
It depends on what is meant by "family computer" but don't underestimate the usefulness of a cheap chromebook as well. My wife uses hers exclusively, since using the internet is pretty much the only thing she actually uses a computer for.