As mentioned, I was 9 at the end of the 1980s. I think by that time my parents had at the very least taught me spades and pitch. This was followed not long after by hearts, pinochle, canasta, and other games played with at least close to regular decks of cards (pinochle decks can be made from multiple regular decks, for example). That and things like Uno, Skip-Bo, Phase 10, and Rummikub are what I mostly remember playing with my family my entire childhood. I still have lots of regular decks, Uno, Skip-Bo, and Phase 10 decks, and I believe I have a copy of Rummikub. My parents certainly do and I still play most of these games with them and my middle school age niece when we’re in the same place.
Other than those “standards,” I remember playing a lot of a dexterity game made up of colored ping pong balls, a giant plastic tray, and colored plastic rings at my grandparents’ house with my cousins. We mostly played on the kitchen floor and had those balls going everywhere. BGG turns up this that has to be what I’m remembering.
Of the BGG list of games from the relevant years…
I currently own:
Sherlock Holmes Consulting Detective - one of the many reprint versions. Played through the first box of 10 cases and most of the second.
Cosmic Encounter - picked up a copy at a local thrift store a few years ago that had tons of expansions in the base box. Still haven’t played it.
Junta - won a copy at a game convention several years ago. Still haven’t played it.
Set - played this for the first time somewhere in high school, I think. Don’t actually own Set but do own the slightly more gamified Triology that can be used to also play set.
Rummikub - see intro paragraphs above
Balderdash - own it. like it ok but there are usually better options available.
Taboo- I think I stole my parents copy when I went off to college and still have it. Haven’t played it in years.
Scattegories - One of my favorite of this type of game. Played it a lot in college and just played it this past weekend with my husband’s brother’s family.
Dark Tower - never played the original but I have the new Restoration Game Return to. Close?
Sequence - might have played this one in the 1980s. I remember someone in our family camping group having a homemade board and playing with them. I do now own a copy.
Phase 10, Skip-Bo, and Uno - see into above
Star Wars: Escape from Death Star Game - my mom gave me a new version of this for Christmas a few years ago because I like games and I like Star Wars. I played it a couple times while still at home for Christmas and haven’t opened it since.
I’ve played:
Acquire - a favorite of a guy in my big game group I enjoy playing with so played his copy a few times. He has now moved (such a shame) so unsure if I will play again. Good game. I enjoy it.
Can’t Stop - Fun little game. Gave my niece a copy for Christmas a few years ago. Should remember to get her to bring it to my parents over Christmas, if her parents can find it. They had to have some major work done on their house recently and lots of stuff is boxed up in storage at the moment.
Boggle - inevitable to play at some point. I think this was making the rounds with my debate team in high school when we had down time.
Upwords - we had a copy of this when I was a kid. I preferred it to Scrabble back then and my dad did not so we always argued over which one to play.
Mastermind - my dad had a little brown plastic flip open version of this with pegs. Played it a lot with him and with my sister, possibly even in the 1980s but early 90s more likely.
Jenga - surely most people into board gaming have experienced this at some point? I would say my first dexterity game, but I think the bouncy ball one above came earlier.
Spoons - I mean, I played it as a kid with a regular deck of cards and regular kitchen spoons. No store bought version. Can’t remember the rules now.
Tri-Ominos - box looks very familiar. Suspect parents had it when I was a kid but I don’t remember playing it.
Perfection- friends owned this and I’d play with it at their house
Trivial Pursuit Genius Edition - we definitely had some edition when I was a kid; I think we had this and a Disney version that was not all Disney questions like the modern ones but simpler questions for kids
Connect 4, Guess Who, Twister, Hungry Hippos, Operation, Game of Life, Trouble - family game cupboard staples when I was a kid. Still have a Twister I haven’t touched since college and a Star Wars version of the Game of Life.