While you can carve every monster after killing it...
did you know you can mine an Uragaan's back after you KO it (Steel subspecies too)? You can also do the same with Duramboros (Rust too). If you jump on the Jhen Mohran (Hallowed too) there are special mining points, so don't forget to bring some pickaxes.
But that's not all. You can catch bugs from a Zinogre (Stygian subspecies too). There are also certain items you can gather by approaching a 'camouflaged' Gobul!