The first thing I check is the handle itself, not the box. A cutout handle molded into the side will outlast everything else in the room, but a separate handle screwed or riveted onto thin board is the part that goes first, usually right when the box is full and you're carrying it down a flight of stairs.
Color matters more with these than with most storage because they tend to sit out in the open rather than hidden in a closet, so the finishes that stay easy are the ones that read as neutral from across a room: a plain kraft or oatmeal tone, a muted gray, a solid matte color without a pattern fighting for attention. Woven versions in natural fiber tones do the same job and age well because the material itself hides scuffs. Where people get into trouble is buying a bold printed box thinking it will look graphic and fun, then finding that six of them stacked together looks like a storage room that lost an argument with a magazine spread. The honest limit with boxes like this is weight. Cardboard and fiberboard ones are fine for off season clothes, kids' art projects, or anything light that mostly just needs to be out of sight, but the moment you start loading in books or tools, the bottom bows and the handles pull loose from the sides, sometimes within the first month. I've had a lidded one with cutout handles split clean along a seam carrying nothing heavier than a stack of magazines, because the board itself was thinner than it looked in the listing. If you need real weight capacity, that's a job for a wood or heavy duty plastic crate, not a handled box, no matter how sturdy the handles look.
These also do not belong anywhere damp. A garage, a basement with any history of water, or a mudroom near wet boots will soften fiberboard and warp the base faster than you'd expect, and once that happens the handles tear right through. They also clash with rooms where you're already leaning on a lot of pattern and texture, a patterned rug, patterned curtains, open shelving full of books and objects, because a patterned or brightly printed box adds one more competing thing to a space that doesn't need it. Plain finishes settle into those rooms far better.
These suit a home where things need to look tidy without being heavy, a kid's room, a rented apartment, a closet that doubles as storage and display.