Great idea, I'm actually excited for you since you'll have the chance I'll never have again, to experience all these wonderful games for the first time
Playing on release order is also a nice idea (it's like Star Wars, if you're watching for the first time and you're not starting with the old trilogy, you're doin' it wrong).
For me the only one left to finish is DDD (which I started on 3DS but now I have 2.8 so I don't know if I'll restart on PS4, probably), but I also plan to play the whole series again once we get closer to III.