Areala
Double Dribble: oh yes, my friends and I played the heck out of that back then. Unfortunately, it's become a forgotten gem since that era. I could also argue for Blades of Steel on the same grounds of being able to use full teams and the early use of cinematic sequences.
No Myst?! I could have sworn that I saw it there, or maybe I was just assuming it was. Sure, the series strayed into being called overrated for a time, but to write it off completely or forget it just because The Sims later took the crown of casual king? Strange.
Centipede was fun, but never really my favorite game from the era. My young mind was actually overwhelmed by its complexity compared to some contemporaries. As for Defender, for some reason I never even ran across that one back then. I did play a number of clones or stripped down ripoffs though.
Asteroids, Space Invaders, and Pac-Man were more heavily cloned than those, however, and I think inspiring imitators may have played a role in the selection process.
Burger Time - heh, I actually played that one a lot too, but never was very good at it. I think it helped inspire my later love for Dig Dug and Mr. Do.
Final Fantasy VII - oh yes, I once refused to play this due to the excessive hype it got (and still gets in some circles). Now, I've tempered my hate, thanks to watching a good Let's Play of it on Youtube, but I agree FF4&6 will always have a bigger spot in my heart. I played through FF4 (as FFII on the SNES) more times than almost any other game, and my best friend's sister and I even voice acted through the whole thing at least twice.