As far as 10/10 games go for me, these are the ones I pick:
Chrono Trigger
Mother 3
Phantasy Star II
Super Mario RPG
With honourable mentions to Trauma Centre: Under The Knife (2), Final Fantasy 6, and Sonic Adventure
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10/10 Games
Chrono Trigger has been noted several times as a 10/10 game, and I think it's as close as I'm going to get to an actual perfect game. It had amazing characters, and awesome story, great music, and awesome plot twists. The game in general was just amazing.
Mother 3 shared a lot of the same attributes with Chrono Trigger, but it also holds the score for the only game that actually made me want to get into battles. The rhythm battles were just so enjoyable, and the music in particular made this game amazing, not to mention the amazing dialogue. The fan translation deserves a lot of recognition too, because it's easily the best fan translation I've ever seen. It just has that Earthbound feel.
Phantasy Star II isn't one that most people think of when they think 10/10 game, so I'm probably alone in mentioning it. But I easily think that this (and Phantasy Star IV, though it's not on this list since only my bro played that game, I didn't) is easily the best RPG that Sega has churned out. Yes, there is a lot of level-grinding, but even though the characters don't talk much, it's very serious when they actually do. Also, you really feel immersed in the world with Rolf, Nei, Amy, Rudo and gang. The people in the world don't indirectly say that they're suffering, but it's a very gradual and painful change. For a game released in 1989, it had an amazing story, and absolutely incredible graphics (seriously, most games during this era looked like shit compared to this). The music was very memorable too, as were the boss battles (maybe because they didn't have bosses at every turn; there were only actually 4 boss battles in the entire game IIRC). I personally think this is one of the most underrated games out there.
For those of you who wanted more character development, the Phantasy Star II text adventures are now completely translated. I haven't actually played them yet, but it definitely adds a bit more depth to the game.
Super Mario RPG may have been a shorter RPG, but it still had a lot of heart. With awesome graphics, music, characters, and such, it had everything a gamer would love. What's more is that it was a great introduction to the RPG era for a lot of younger and older gamers alike. The interaction between the characters was one of the most enjoyable parts of the game, since the game doesn't become super-duper depressing unlike a lot of the modern RPGs out there, while it can still hold a serious tone at times. Maybe it's just because I've beaten this game a bajillion times, but I still believe it to be a 10/10 game.
Honourable Mentions
These games easily could have been 10/10 games IMO if it weren't for a few things holding them back:
Trauma Center: Under The Knife was a very enjoyable game, and IIRC, it was the first one to make full use of the touchscreen on the DS. It was the one that started the touchscreen surgery thing, and even the story was enjoyable. The thing keeping this from being a 10/10 game is that while I was able to handle the difficulty after getting used to it, it seriously did not have a steady difficulty spike. I swear, in chapter 1, the surgeries are all ridiculously easy until you get to this one where you have to excise anyeurisms, and unless you play extremely carefully, you spend hours trying to do this surgery and constantly fail since the motherfucker's vitals drop too damn much.
Admittedly, this massive difficulty did prepare me for Trauma Center: Under The Knife 2, which did have adjustable difficulty. I personally played it on Hard mode since I was prepared. This game was really good and it had an even better story than the first one. The problem is that later in the game, the surgeries take forever. The reason is that they make you do 3 patients in a row very commonly, and god damn, is it ever frustrating if you screw one thing up later in the surgery...because you have to start from the first patient in the surgery all over again. -.- I guess that isn't so much a complaint about the game itself rather than a frustration, but I still love the game.
The Trauma Center games were still really awesome though, maybe if I play them through again I'll probably think of them as 10/10 games since I'm a lot better at those "hard" games now.
Final Fantasy 6 has been mentioned a lot as a 10/10 game in this topic, and I really enjoyed it too, and truth be told, it used to be tied with Chrono Trigger as my favourite until Mother 3 and Phantasy Star II took that over. Unfortunately though, it's really, really difficult for me to think of this as a 10/10 game when there were clearly flaws with the programming and the fact that once you got the espers the characters basically lost anything that made them unique (they still had unique skills, but there was no point in using them). There was also the issue that while the World of Balance had a good plot, you didn't even need to get all the characters in the World of Ruin...I mean, I personally still got all the characters, but I personally don't like extreme amounts of openness in RPGs, and the World of Ruin is completely open. It also makes getting the non-compulsory characters seem like a side quest, which is dumb since they're supposed to be integral characters in the story.
Don't get me wrong, I still loved the game, but I can absolutely see why someone wouldn't, since it's very hard to ignore those gaping flaws.
Sonic Adventure is probably one that a lot of people would disagree with me on, since people only seem to like the 2D ones and dislike the 3D ones. Don't get me wrong, I personally think this is the only good 3D Sonic game to exist. Even Sonic Adventure 2 was not fun. Anyway, I loved this game, and I really liked that you could explore an overworld, which is something you couldn't do in other Sonic games. I also liked that you can see the story from several different perspectives. The Chaos were pretty addicting too, especially back when I was younger.
The biggest thing keeping this from being a 10/10 game for me is Big the Cat. I'm serious, Big's scenario is the most annoying one of them all, and overall, it's the only one of them that isn't any fun. Unfortunately, it just goes against the fast pace of all the other characters, and it's overall just frustrating, boring, and slow.
Honestly, if it weren't for Big's scenario, Sonic Adventure literally would be on my 10/10 list right now.