When talking about my favorite singer, how do I say "I've got all his albums"? I thought it was "他的光盘我都有" but I don't think it's correct because I can't find any results for that on Google.
光盘 = Disk = 💿
So that's a huge no-no.
唱片 is more of a old fashion way of saying album. So I personally recommend 专辑.
So the result would be: 他的专辑我都有。or 我有他所有的专辑。
Another way to say it is : 他所有的专辑我都有。 :D