actraiser, chrono trigger, secret of mana

Earthworm Jim, Zombies Ate My Neighbors, Mutant Ninja Turtles, Street Fighter(s), Mega Man.

E.V.O Search For Eden

super punch out.

Super Metroid.

get

Chrono Trigger

B.O.B.

EarthBound.

Axelay, Contra 3 and Cybernator.

Super Mario RPG. Legend of the Seven Stars.

The best RPG ever.

Let me see how many I can remember off the top of my head. I am bound to miss a few, unfortunately. Take note, I am primarily a Rpg gamer.

Chrono Trigger, Secret of Mana, Secret of Evermore, Eathbound, Secret of the Stars, Breath of Fire 1/2 (Surprised nobody mentioned this), Terranigma, Illusion of Gaia/Time (Depending on location), Inindo: Way of the Ninja (Fairly unique game, imo. Plus you get to be a ninja), Shadowrun (Cyberpunk greatness), Uncharted Water 2: New Horizon (Fun RPG with several character story lines you can go through), Super Mario RPG, Robotrek, Soul Blazer, Paladin's Quest (Unique art style and team member recruitment, but overall fun game), Harvest Moon(If you don't mind an RPG Farming Sim.), and Lagoon (If you like games with more of a Ys feel to them)

So yea, those are all the ones I like/think of without diving into translated games. Hopefully you find some you like. Also Kudos on current selection, especially the Lufia games, I love the first two.

I'll suggest what have not been said already: Kirby Super Star. It's an amazing side-scroller <3

A game that I really liked when I was a kid, was something called "Super Smash T.V.". It was a pretty good 2 player game that is similar to Crimsonland, if you've ever played that.
I didn't see anything in the rules about linking to outside sites, so here's a youtube video of some of the gameplay.
http://www.youtube.com/watch?v=4AapB7dW3HA

Super Noahs Ark 3D. It is Wolfenstein but you play as Noah on the ark killing sheep. Its weird...

Tales of Phantasia and Tactics Ogre Let us Cling Together. Of course they are not in English unless you patch them and I don't know how to do that to an actual disk.