Wondering what kind of houseplant this is. Also wondering if I could create a new plant. (Hoping if I cut off the top of a stem and put it in water, that it would grow roots so I could start a new plant.)
This dracaena has seen better days, but you can grow new plants from it and possibly invigorate the old one. Cut off any stems/canes that are soft and wrinkly. They wouldn't have any green leaves on them. It looks like you may have at least one that is useless. Any firm stem/cane, with or without leaves, is capable of new lush growth. What you can do is prune the canes back by a forearm's length or more. I'd cut the cane at a slight angle so that fluid doesn't collect there and rot it, but some folks will dip that end in hot wax to seal it. This also encourages sprouts that are not at the very edge of the cut. I mist the tops of pruned dracaena that I want to send out new shoots. Not the cut edge per se, but the nodes and leaf scars. I just keep them hydrated but not soaking and they seem to have an easier time of sprouting new growth. The pieces you trimmed off can be treated a few ways. It will help if you let the cut sections air dry for a day or so. Then you can bury a section of cane on its side, with multiple places to send up new shoots, or just prop the bottom few inches in potting soil. It may be best to cut off any leaves, since they certainly aren't enhancing the plant as it is, and will take nourishment the cane section needs to grow new roots. If that's too drastic for you, at least cut the remaining leaves off by two/thirds or more. This isn't the best time of year to do this, but you may not have a plant to save by springtime. Good luck!
