Specifically I'd like to see Skynet's army rise up against him (he did refer to them as an "army of slaves" in Genisys), or even perhaps a peace-minded iteration of Skynet that's existed in a humanoid form long enough to gain some compassion for the human point of view
I think across these movies, there's a very compelling story about a progressive temporal arms race driven by mutual fear in which Judgement Day keeps getting pushed back, which only gives both sides more time for technological development, and the only true resolution to it is cooperation. But cooperation will never come about because each side fears being wiped out by the other.
I'll give Genisys another thing, Emilia Clarke made a damn good Linda Hamilton. (As for Jai Courtney looking nothing like Michael Biehn, that just supports my theory that it's not always the same "Kyle Reese" sent back which would explain why John Connor looks different in almost every movie.)
The one thing that really fascinated me was how he was so adamant that his kids have to learn German that he insisted on only speaking German at home. I'm not saying that this is the one true way to do it, but I did respect him for that.
He literally said in my face "they only make a big fuss because that token negro died". I said "dude, what are you saying?" He said "my parent taught me to say what I think." I said "bad enough for you to think like that." and then reported him.
So I told this other longtime employee that I was planning to go to the funeral, and he went on a tirade about how "other people had died too", and this was only treated as a big deal because this guy was black.