When I was pretty young....Candy Land.
Mouse Trap!
Not so much to play, but to set up and activate
the board game I always liked was the one where the neighbor kids always beat the hell out of me with a board....2x4
Um, Timmay? Did the other kids throw their empty juice cartons (along with other things) at you during lunch time?
It's OK Bro! You're among friends now! 
Oh yeah....topic.....monopoly, checkers, and chess.
Yes...and make me stand in a firing line of eveyrone stomping on ketchup packets.......
Backgammon, Chess, Scrabble.
When I was pretty young....Candy Land.
Yeah, that was the first game to come to my mind....candy land...
Risk and Sorry.
Now I play Candyland and Chutes and Ladders with my own kids............
Guess chutes and ladders is what we call snakes and ladders over here??

My faves were 'Haunted House' (where you dropped a marble down the chimney and activated traps to knock other players over)... A good condition version of this is now worth about $100

Also liked 'Sorry!' and 'Cluedo' and 'Game of Life'