You know, what I'm trying to say is something you'd do with your children. (with paper, glue and stuff) So in that case would you say: "let's do some craft-work, everybody"? (that means I should use do and not make?)
We use the phrase "arts and crafts" for this sort of thing in AE. "Let's do some arts and crafts" would be one way to say it. Since "arts and crafts" is the activity, not the product, we do not use "make." If you were thinking of a specific result, you could say "Do you want to make woven baskets?"
I mean, if six knitters plan to get together to knit and drink coffee, they'll be specific and say "Bring your knitting."
A store might advertise "Handcrafts for sale," meaning quilts, knitted things, handmade birdhouses, etc.
But if you're organizing a week-long kids' program you might say "We'll start with games, followed by singing. After having a snack, then we'll do a craft." That would encompass door-hangers made out of popsicle sticks, hand-printed scarves, little men made by stringing buttons together, etc. I've gone to ladies' events where there was a speaker followed by dessert and then we all worked with cloth and cardboard and glue guns to make little padded boxes. (That's why I said "a little mindless." You being a guy probably have not experienced these activities.)