Devil May Cry: Definitive Edition may not improve much in the looks department but the gameplay remains as great as it was last gen (Vergil's Downfall notwithstanding). If you haven't played it yet then you absolutely should do so.
Far Cry 4 doesn't differ from Far Cry 3 greatly aside from it's obviously brand new story and setting and that's just fine for me. The series has become the first-person shooter for a fan of singleplayer-geared first-person shooters like me. Simply setting off into the bush on foot is as thrilling and fraught with potential as any game I've ever played. Every second really is a story, as per the game's marketing tagline. For once, the suits got it right.
It's just hard not to recommend Borderlands: The Handsome Collection. There's so much content. It received a proper current-gen graphical upgrade and there is tons of both DLC and normal content included. I have a few problems with The Pre-Sequel, but that's it.
Unmechanical Extending offers gamers a puzzle game with a story told though its setting, more thought provoking than games with hours of pre-recorded dialogue. Come for the puzzles; stay for the hours and hours of time you'll spend writing Unmechanical fan fiction.
It's all about the multiplayer this time around in the Anomaly franchise. Anomaly 2's singleplayer portion is basically identical to the first game, so if that was your jam, then by all means, go weapons free. If it wasn't your jam, then maybe the multiplayer will keep you interested. Either way, there are fun and interesting gameplay ideas hidden away in Anomaly 2 that can keep you busy over a boring weekend.
The Last Tinker: City of Colors is a fun and insignificant way to spend seven to 10 hours with your PS4. The game will remain most memorable for me because of the way it never could decide who it was meant for—Kids? Adults? Teens? Super-coordinated babies?—rather than for graphical or gameplay reasons.