First of all I don't think there is anything "strategic" in these choices - we are talking about short and concrete move sequences - so IMHO it's more about tactics, not strategy.
It's simple to answer your question for scenario when you are in check because options are so limited. For other cases (forks, pins etc.) I don't know if finite list can be easily created. Well we can always say that there is a list of all legal moves
Anyway if you are forked for example your opponent is typically hoping to gain some material. But it could be that you reply with even stronger threat - you can go for mate, or for attack on more valuable piece, or create passed pawn, or one of forked pieces can escape with check. If some material loss is inevitable you can search to minimize the damage. Same kind of analysis can be made for pin etc. Just I don't think making lists can help - but training and playing can!
What are some lists of options when you are in various situations in chess?
As an example--
When you're placed in check, you only have three options: 1) Kill the attacking piece, 2) Block it, 3) Move out of the way
Let's say you're pinned, or forked, or in a losing position, what are lists of options for various scenarios. I'm mostly interested in lists which are finite and not open ended.
What are other chess logical truths like this?