I play various games with my wife, niece and nephew. Old sega games, Wii, PS3/4 games. Anything co-operative.
Wife and I picked up It Takes Two a while back. It's fun, the plot is about a couple on the rocks, they have to work together to rebuild their marriage. The plot is a actually pretty annoying. Haha. The game is fun though because you have no choice but to work as a team to solve problems/puzzles.
The kids really like Little Big Planet 1/2/3. It's like Mario, but more interactive and 4 player co-operative.
The Wii is still fun and interactive, even if the graphics suck. Super Smash Bros Brawl is great to play 4 player with kids/friends. Mario Cart never gets old.
Old Sega Genesis side scollers like Streets of Rage or Golden Axe are great for co-operative play. The kids love them.
Streets of Rage 4 came out a few years back, It's great. My wife and I play it. It's 4 player co-operative.
There's a lot of great games out there.
I like to play games in between sets when I train. If it has a timer it's perfect. Fighting games with round timers are great for timing sets and killing time between sets. I lift and play fairly regularly.