Once you delete the game after finishing?

Basically - Yes. For side quests/achievements/collectibles/DLC etc. try to place in parallel with the main story line, or immediately after it. After passing the already side content is removed. It is rare when going through the game again immediately after the first passing, but there are exceptions. Also there are games in which you can play in the company - they also leave.

Leave the most expensive and pleasing to the heart igruli in which happy to come back again and again, regardless of the number of passages and other things!)

I delete up to (with very few exceptions) pass. lol

For some time now as to recoup the license on Steam, what happens after completing the story the game still left to finish off some achievements (if with them not much bother).

Yes, and often even before the passage)))