I highly recommend Mercenary Kings. It's like Mega Man combined with Contra combined with Monster Hunter. There's a really satisfying loop of fun missions where you get upgrade materials so that you can upgrade, strategize, and equip for more fun missions.

For roguelikes, I'd highly recommend Streets of Rogue and Vagante. The former is wackier and a more open sandbox; the latter is a better challenge and perhaps a bit more satisfying to beat, but both are phenomenal. Streets of Rogue is sort of a twin stick shooter with tons of classes that play very differently, often compared to Deus Ex; and Vagante is like Spelunky crossed with Dark Souls.

Other than that, those Quake remasters have split-screen for co-op and versus multiplayer. A friend and I just started Quake 1 recently.

As a bonus, all of the above are also online multiplayer.