Is there any anyway to know what games in my library are region restricted?

It really depends on whether you're talking about a game that was bought before the new region locks were in place.

If it's before the new region locks, check the appid for any region locks.
If it's the latter, it would have been stated on the gift.

if you look at your woodle tree adventures gift u see a red exclamation mark [!] and the listed countries its restricted to as for other games can have censorship or such but not sure if those are marked as restricted as well