Nope, metals are elements as opposed to molecule compounds and literally can be melted and cast forever. They say most of the gold ever mined is still in use today, so your modern ring might have bits of a ring melted down in ancient Egypt in it. Glass is like this too. Paper is more like plastic, albeit somewhat biodegradable when it eventually has to be thrown out.

In practice, there’s still a limit for many metals because they will get contaminated. Copper building up in scrap steel is a problem IIRC. It’s not a big issue with aluminum, though, unless you’re doing something like building an airplane where you need super high purity. Cans are almost all recycled into more cans.

There are ways to purify a metal melt, but they can be expensive and usually produce waste slag. I’ve never heard of glass being purified; it’s probably too cheap to not just make more of, since it’s derived from really common minerals.