Uno. Loved that game.
We played Monopoly, Sorry and Risk way back in the good old days.
I was 19 before television came to Australia so we spent lots of nights playing cards while we listened to the radio (we still called it the wireless in those days)..
We kids had other games, of course, but we only played cards with Dad -- mostly Euchre. (Mum didn't play at all.)
We played Monopoly and when a bit older Scrabble. Learned to play chess from my father. Those were the good old days. Listened to Jack Benny on the Radio as a family too.
I learned how to count by playing Dominoes with my Dad.
Other than that, we would play Chinese Checkers and regular Checkers. If my Mom had a lot of cleaning to do, the Monopoly board came out because that took a lot longer to play!
We always played Scrabble.
Backgammon with my stepdad
Dice, Cribbage, and Euchre with my grandma
Canasta, Uno, Snap, Trivial Pursuit or Pictionary.
POKER!!! With pennies. My sister and our friends played spades.
Cards mostly, Crazy 8's and Rummy, but we played Parcheesi and Scrabble as well. I still have the Scrabble game from then. I would say it is circa mid 1960s.