It sounds like you're talking about the "gloss" era with "juicy" buttons, which some people are retroactively referring to as Frutiger Aero. Yes, things definitely look more 3D in that design. It's currently considered out of mainstream fashion, which explains the lack. Will it resurge?
Also more generally called skeuomorphism https://en.wikipedia.org/wiki/Skeuomorph
Earlier era for me actually. I'm a 90s person. :)
Enter "Lickable Pixels" -- the phrase that described the Aqua era.
Introducing Mac OS X's Aqua interface, Steve Jobs said at Macworld in January 2000: "We made the buttons on the screen look so good you'll want to lick them."