RookeiNerd mentioned Grey Linen Ottoman boxes, so I thought I'd throw this Ottoman from Dunelm in as an option (which may be what RN was referring to):
https://www.dunelm.com/product/foldable-black-ottoman-1000111408?defaultSkuId=30420484You can often find them in different colours and material options.
I had stacks of Progs and Megs, but I've been gradually transferring the lower ones as they flatten under the weight of those above into these. They're much wider than the comics, so there's a lot of room down the sides if you want to add in specials or annuals. They're also taller than the comics, so there's some room to lay other stuff on top (like the Meg floppies).
They are sturdy enough to sit on. If you have the room you can make a feature of them - I have five of them arranged long edge to long edge, covered over with a duvet and pillows at one end. I've not tried sleeping on it, but it's more than comfortable enough to lie back and read. With a few more blankets, I think they would make a decent spare bed.
They look to be a much bigger, cheaper and more attractive storage option than comics boxes. However, they don't have handles, so they may be less convenient if you move around a lot.
Regards,
Robin