This is a hot topic among sneakerheads. You can store your sneakers in their original boxes, as long as you manage temperature, humidity and sunlight. However, it's generally considered safer to store them in drop-front (meaning they open from the front rather than the top) plastic containers.
Cardboard boxes break down quickly and won't protect your shoes from humidity or heat. Clear boxes can't do much to protect your shoes from heat, but they can seal out moisture or provide better ventilation to prevent moisture buildup. However, cardboard boxes block sunlight better, so both have pros and cons. Ultimately, clear boxes are usually the better choice because they're more durable, especially if you're stacking boxes. Just keep them out of direct sunlight.
While clear plastic isn't great at blocking UV rays, it's fabulous for visibility! Picture this: You're ready to revamp your rotation and pull sneakers from storage, but to find the pairs you want, you have to open every box. That's no fun. With clear boxes, you can see all your shoes without unpacking them, which is super convenient. And with a drop-front style, you don't even need to unstack boxes to grab the ones you want.
If you don't want to invest in clear storage boxes, that's okay; it just makes it more difficult to rotate your shoes and keep them in pristine condition. Start with a few clear boxes for your most expensive or rare sneakers, and keep everyday shoes in their original boxes.