Everyone has covered pretty much everything I could've said, but I will say it again!
Sonic Adventure DX: The Director's Cut
Tales of Symphonia
Those are the main ones I would like to emphasize you getting. Also, I am vehemently against Sonic Adventure 2. I didn't really get very far in it when I got it when I was like 10, and forgot about it until earlier this year when it was released on PSN(I'm 18 now), and decided to give it a try since most people hold to the belief that it is the best 3D Sonic game of all time. Even though I always insisted stubbornly that SA 1 was the best, I decided to give SA 2 a fair chance, and I was... Horrified. The only good parts of the game in my opinion were the music (nothing exceptional, but not bad either) and the Chao garden... But the chao garden is still great enough to keep me coming back to those abysmal levels in SA2 to farm coins and chao drives for my chaos.
But yeah, I found when playing SA2 that you had to know the levels very well before you could even hope to clear them easily. A lot of things simply jump out at you before you are prepared to the point that it is completely unreasonable and hard to catch even if you know it's coming. My other main complaint would be that they shoved a million special moves onto a single action button, and they can only be triggered when you are within a certain range of a trigger object (light speed dash won't appear unless you are directly in front of rings). This was problematic as the standard action button move would be the fire spin who's only use is to break boxes... nothing else. It is always quite infuriating when you are blazing through a level and the action button does not register quickly enough that there are rings in front of you and you fire spin/roll into a dark abyss, sometimes repeatedly. The main thing that bugs me about this being that most of these skills will be seldom used in the games except light speed dash, and you basically have to stop, and worm around until you hit a hot spot and the action button recognizes light speed dash as it's option which kind of wrecks the flow of the level.
I can't really say much about the story because it's kind of a subjective thing, but I will say I didn't care for it much, and also they put tails in a mecha, and I found his levels to be some of the most boring in the series.
tl;dr: If you are okay with often unfair level design that you have to memorize to be good at, and untrustworthy controls, then I guess you should be fine with this game, and the Chao garden should be enough entertainment on its own to keep you playing this game that I dread. Also notable, I am talking about Sonic Adventure 2, not Sonic Adventure 2 battle, so I can't say for 100% that all of these problems translate over to 2 battle.