Insomniac doesn't usually have their heads up their own asses so I'd expect the GC remake to fit into the new continuity but to be good, so long as it doesn't end up being a movie tie in.Sly Cooper needs a sequel. Especially as the last game was left in a cliffhanger. Ape Escape is also overdue an sequel.
I would also like to see a new Jak & Daxter game, but it should be developed by some good gaming studio, in order to avoid another abomination like The Lost Frontier. Ready at Dawn made a good job with Daxter, so I wouldn't mind them making the next one.
I also wish for a non-remake Ratchet & Clank game. I mean, the PS4 remake was fun to play, but it actually did a lot of things worse than the original PS2 game (namely story, characters, music, cutscenes and game length), which is why I'm not sure do I want to see a Going Commando remake.
Sly 4 was really good, but just like R&C there is/was a movie in the works and if they made a new game it might follow R&C's path and be a short, not as good remake of the first one.
Jak 4 was rumored recently based off some list that surfaced from a Naughty Dog server, but you always have to take those kinds of things with a grain of salt. Once Last of Us 2 finishes development maybe they'll be able to come up with a concept that works for Jak 4 since I read somewhere once that their problem was coming up with a story to tell for a sequel.