This is the one time where marketing deals may actually mean something for the consumer. Anything that sony has a marketing deal for with a 3rd party is likely to have more care put into its Neo mode from the getgo as they can show off the better looking Neo footage for their marketing. (Not a guarantee, just more likely)
So that's Watch Dogs 2, Call of Duty, Final Fantasy XV (Sony has a Japan marketing deal for this I believe), anything else?
Destiny's already out, and will have released its last big expansion on September 20th, I don't expect a patch for that to happen as they're probably really busy working on Destiny 2.
And then DICE just simply cares about this kind of stuff anyways, so Battlefield 1 will probably have a good Neo mode.