I have a Muuto Restore Basket, in gray, in our den. I’ve had it for more than seven years now, and it’s still going strong—despite the fact that it rests directly on the floor (and always has) and holds hard toys (not plushies) that are regularly taken out and thrown back in. Even though it looks soft, the basket is actually stiff, like cardboard, and has maintained its rigid shape all these years.
The basket is made of polymer felt, a percentage of which comes from recycled plastics. Since its introduction in 2009, Muuto has introduced a slew of new colors. You can find some of these colors at Design Within Reach; the Danish Design Store offers the basket in 13 colors.
Find more basket ideas here: