They're still around, but it feels like no really cares all that much about them anymore.
Personally: I used to work my ass off for certain achievements, and will still try to get at least most of them in a given game, but I'm not willing to put myself through the level of hell that I used to for that one fuckin' achievement almost every game has.
[Playstation user here] If I really like a game, I will attempt to get the Platinum Trophy as long as it's within reason (looking at you Stardew Valley). Otherwise I don't sweat it too much. Although on the PC side, I use achievements as ideas for Europa Universalis 4 runs because otherwise I'd play the same nations over and over again