Ancient-Red-Dragon: For CS1, no there isn't anything wrong with the Achievements. At least there didn't used to be back when I played it a year or so ago. But it's possible they could have become broken since then (in which case I wouldn't know for sure one way or the other if they are now broken or not).
For CS2, yes, there is something wrong with Achievements if you are using anything past version 1.4. At least, that used to be the case. It's possible they fixed the Achievements since then, but if I had to guess, my guess would be that no, they didn't. In which case you need to revert to v1.4 or earlier if you want GOG Achievements to work.
In case anyone ends up here searching for if this is still an issue in 2021, yes. Yes it is. Version 1.41 does not let you get achievements, you have to downgrade to 1.4 still.