I’ve never used nail polish remover for that. I have used it to dissolve superglue, including Lego pieces that I’d superglued to wood. It turns out that it doesn’t take long to apply enough nail polish remover that it starts dissolving the Lego as well, it gets soft and malleable and you can easily bend it with your hands, so I never did that again.
I tried Brasso about a year ago and it works. There’s a couple problems there though, one is that enough Brasso will also dissolve Lego, so you can’t work it too hard. Another is that using Brasso dulls the surface of the piece, so it never looks as bright and shiny and new as it did. I found it especially noticeable on transparent pieces.
I also found the Brasso takes stuff off pretty quickly but I’ve run into pieces where Brasso has virtually no effect. Presumably this means that Lego used a different printing technique that is immune to Brasso, but I don’t know enough about it to have any idea as to why.