My Go-Tos:
For fine plastics, such as irreplaceable Mid-Century collectibles, my choice is Novus plastic polish. Googling it will give you lots of places to buy it.
For ordinary needs such as you describe, Brasso (yes, the brass polish) is really great. Wenol is also a good polish, but it has a lot more "cut" than Brasso, meaning that it cuts through a top layer of metal pretty readily. For that reason, I use Wenol pretty judiciously.
The new, EPA-mandated Brasso is not as good as the old. Old Brasso had a kerosene base, which did not dry out as you polished. New Brasso has an ammonia base, which does dry out. There is a work-around. Use the new Brasso on a soft cloth, and when it dries out and will not "glide" as you polish, squirt some lighter fluid onto the cloth. This will re-moisten the Brasso - with something that doesn't dry out right away.
Hope this helps.