I was born in 1989. Looking at the list of games I see Revenge of Shinobi, Phantasy Star 2, and Golden Axe, all 3 good games, hard to pick between those 3. I think I'll go with Revenge of Shinobi though.
You're forgetting an excellent game and my pick for game of my birthyear: Super Mario Land.
I loved this game as a kid, played the heck out of it, and still have a virtual console copy downloaded onto my 3DS.
I was a Sega Kid growing up, never much cared for Mario. Super Mario Land is the Gameboy Mario isn't it? I saw that on the 1989 list when I was looking.