My parents owned an Atari 2600 and had it set up in the living room for the longest time in the house I grew up in. My dad was sort of into video games back then as I remember him periodically looking through those Atari game catalogs for new ones to try out. He was also subscribed to the Atari Fan Club where he either bought or otherwise received a copy of SwordQuest: Water World (which today is worth a few hundred dollars loose but at the time I fucking hated that game and its other two iterations, which he also owned). I remember he had a few of those Activision patches they'd send you for getting high scores in their games too, but he never ironed them onto a vest or anything, he just kept them loose.
I played a lot of your bog standard 2600 games that have already been mentioned in this thread. Games like Pitfall, Pac-Man, Combat, and the arcade game ports like Missile Command and Space Invaders and all that. I remember really being into two specific Activision games though: Pressure Cooker and Sea Quest. Sea Quest was all about rescuing these divers and shooting at sharks and stuff, sort of like a sideways Space Invaders except a lot faster paced. Pressure Cooker though, that game was crazy complex for such a simple system. You played as a little chef and had to read these food orders at the bottom of the screen and then assemble hamburgers based upon which ingredients were noted.
Games I hated included E.T., of course, because while I sort of "understood" the concept of the game it was so broken and hard to play that to this day I've never actually beaten it. There was also the Superman game which I never really understood what to do and couldn't figure out how to navigate through the city because you could fly in any direction but it seemed like flying up and down a screen would just drop you off at some random place. I also kept getting trapped in what I assume was the city "subway". My attempts at Superman would usually end with me catching one bad guy, then getting hit with kryptonite, and then giving up.
We had one of those chunky Wico "Boss" joysticks, too. The Atari joysticks were nice and all but I swore by the pistol grip on the Wico one.
Not sure what happened to the 2600. I know my parents did not get rid of it. It's probably in a box in their garage or attic somewhere.