I also highly recommend Lufia 2: Rise of the Sinistrals.
That's why I need you guys to help my list grow
Lol. Well, another good 'game' to start with would be Sonic's Ultimate Genesis collection. I believe it has around 40 Genesis/Mega Drive games on it and most of them are classics. The Sonic games, Comix Zone, some Phantasy Star games (doubt you'll be able to stomach any aside from perhaps PSIV), Gunstar Heroes, Altered Beast (pretty average or mediocre in general... but it takes about 15-30 minutes to beat it and should be fun for long enough), Ecco the Dolphin, Dynamite Headdy, The Story of Thor (like top-view Zelda), Ristar, Shinobi 3, the Streets of Rage games (best beat 'm up games ever... especially 2 & 3), Vectorman, Kid Chameleon and more.
If you can find it, it's probably the biggest bang for your buck that you can get, in terms of quality games. Well, unless you really can't stand retro gaming at all, but I still enjoy every single one of the games I mentioned.
My own list would be too huge though... probably somewhere between 1000 and 2000 games played. At least 600-700 of them beaten. I had a list of beaten games, but I quit making updates at least 5 years ago and it was already at 500+. They're all console, handheld or PC games, so I wasn't counting flash games or mobile games (it's not like any mobile game would've really been worth mentioning until recent years and even now it's still rare to find one). --- Read the mania: http://www.fanfiction.net/~nonexistinghero In SA2, it's Super Sonic and Hyper Shadow.
I recommend playing a lot of games, most of which are kind of... niche? JRPGy... though a few are so good anyone should play them.
Gamecube: Tales of Symphonia Eternal Darkness: Sanity's Requim Baten Kaitos
Wii: Xenoblade Chronicles (one of the best for the system, possibly even generation) The Last Story (for a JRPG fan) Pandora's Tower (J/ARPG fan) Arc Rise Fantasia (if you're a JRPG fan, it's great, if not... meh)
PS2: .hack series (JRPG, very grindy) .hack//GU series (less grindy, newer) Ar Tonelico 1 & 2 (JRPG & visual novel elements). Tales of the Abyss (I'm recommending it even though you *'d it, maybe if you had a reason I wouldn't)
PS3: Tales of Graces F (it's... different than the others in the series. In a good and bad way.) Ni No Kuni (Studio Ghibli, it's one of the best-looking RPGs out there. In art style, at least) Atelier Totori (another JRPG, notice the trend...?)
Xbox 360: Dark Souls Infinite Undiscovery Tales of Vesperia
And... one game I will recommend no matter what. The best game I've played in my entire life:
It's a JRPG that's very unlike JRPGs, closer to an ARPG with JRPG elements, as well as bullet hell, text-based adventure, platforming, action, and FPS elements. Amazing soundtrack, nearly-perfect story (especially with supplemental material), and wonderful characters. --- "Somedays, you just can't get rid of a bomb." - Batman PSN: Quadratical