It's doable to compare syntactic definitions (k-anonymity vs. k-map vs. δ-presence, for example) and I tried to do that a bit. Differential privacy is something pretty much fundamentally different, as it applies to the mechanism and not the output dataset.
I'm trying to fix this gap: my PhD thesis is about rephrasing syntactic definitions in terms of relaxed versions of differential privacy. Typically, I'm trying to get to a point where I can say "hey everyone, remember this old definition that is easy to use but we don't really know what guarantee it gave? Turns out it's differential privacy with weakened assumptions, so here, have a formal guarantee for free". These are (I feel) natural questions that are still open problems. I will most definitely write about them when I have time (and solid results) =)