A good white storage box reads like part of the room, solid and quiet under a window, the kind of white that holds its own in low morning light. A poor one looks like a packing crate someone forgot to carry back out to the car, the white already yellowing at the corners before the lid's closed twice.
What separates the two comes down to what's under the paint. Solid wood or a properly finished plywood takes a sprayed or hand painted white and keeps it, the kind of finish that ages into something softer rather than chipping off in sheets. Cheaper MDF with a laminate skin looks fine in a showroom photo and starts showing its seams within a season, especially at the corners and along the lid edge where hands actually touch it. Check the joints before anything else, dovetails or at least a proper mortise hold up, staples and glue do not. Hinges matter more than people expect, a soft close hinge means the lid won't crack down on fingers or the box's own finish over time, and a stiff cheap one will eventually just hang open. White shows every flaw a dark finish would hide, so run a hand along the edges before you buy, not just the top.
Where it goes wrong is putting too much white storage in one room, which starts to feel like a waiting area rather than a home, or putting a glossy white piece somewhere with a lot of afternoon sun, since that gloss turns into a fingerprint magnet and shows dust in a way matte never does. Keep it away from a laundry room or anywhere with regular damp, moisture gets into a painted seam faster than you'd guess and the white goes patchy from the inside out. If you're starting from nothing, one lidded trunk sized box doing double duty as a coffee table or end of bed seat is the right first move, it earns its keep as seating and storage both, rather than a stack of small bins that just multiply. Measure the space with the lid open, not closed, people forget the swing and end up with a box that can't actually open against a wall or sofa arm. Measure what's going inside too, blankets need depth more than width, toys need the opposite.
A white storage piece done well disappears into the room until you need it, and that's exactly the point.