When our children were around 8 months old, till they're about 2, they've always liked the game where you carefully put the rings onto a post.
In the past we've had plastic ones that get broken.
But putting my "natural" thinking cap on I came up with this alternative which has been fun for everyone!
I found a "coffee mug tree" and asked a handy passing saw-user (one of the big boys) to saw the sticking out bits off. You could also used a nice chunky paper-towel roll holder.
And now when we do our op-shopping we are on the lookout for any sort of wooden rings: curtain rings, or napkin rings etc. Quite hard to find, but exciting when we find them.