Oh man, only 5? Time to shorten the list...
5) Final Fantasy VII. I know, you said not to, but honestly even though nowadays it might seem a bit cliche with others doing what it did better, at the time it was released it was pretty fucking revolutionary in, well, everything, and ended up shaping the modern RPG design. Plus it helps that it's well written (little poorly translated but hey, what wasn't those days), has engaging characters (which makes it annoying whenever people portray Cloud as a whiny emo) and some challenging ass boss fights to throw down with.
4) Final Fantasy XII. Not as revolutionary as Final Fantasy VII but still just as good, with solid characters, voice acting that wasn't a god-damn nightmare, a fun 'loose' world design where you could either bum-rush your objectives or explore around and some rare few villains in a Final Fantasy game you could actually sympathize with and understand their motivations. Look, I like Kefka as much as anyone else, but sometimes you want an antagonist whose main motivations isn't just 'shits and or grins', you know?
3) Pokemon White and Black 2. It's games like these that make me wish Pokemon did sequels more often - while I had my problems with Black and White, the sequels largely fixed them and introduced a lot of fun stuff to play around with. Plus, if you know what you're doing, Level 35 Volcarona! Hell yeah!
2) Baiten Kaitos: Eternal Wings and The Lost Ocean. A bit of a mess this one, with some of the voice acting sounding like they recorded it in a tin bathtub, but by and large a really fun game that took the whole 'fantasy' thing and really ran with it. There's a god-damn candy/storybook kingdom. The final boss is pretty disappointing though since it's got a 70% weakness to a common element (can literally be killed in two turns), but the rest of the game makes up for that. Plus the card-battle mechanic was surprisingly complex and engaging, despite how easy it was to break in the late game.
1) Pokemon Sun and Moon. I have to admit, I loved the story of this one, with the characters all being pretty interesting and the whole Ultra-Beast plotline was pretty cool to play through. Plus the final fight in the Elite Four was just... everything I've wanted from a pokemon game for the last 20 years. My only real criticisms is that everything this generation is fucking slow (there's only a handful of pokemon with speed higher than 60, and most of 'em are legendaries) and that there's this awkward point in the game where you out-level enemies by 10 and then suddenly you're underleveled by 5, but those aren't that major all things considered.