OMFGSONIC4ISAWESOMEEEEEEE

[Cobalt Blue]

at the risk of exposing the sonic fanboy deep inside my mind

Personally I didn't like SAB1 that much. Great game, IMO, but I was never too fond of it.
SAB2, I loved that game. I can't exactly remember why, but I did.
there is no sonic adventure 1 battle(unless you mean the DX version of the original sonic adventure 1)

Sonic 3 AND Knuckles was the best one ever, though. Best story, best gameplay, best graphics. (Yes, graphics. Yes.)
if by story you mean two or three cutscenes compared to the 3d games who actually have a plot and dialogues (despite how shitty they could be sometimes)

If you want to call that a game. It was kind of an add-on to S&K, though most people consider it a game.
S&K is the addon actually for any of the previous 3(with the 3rd getting the most out of it), but it IS a game that you can play without any of the previous 3.

I didn't like the 3rd alone very much; it was too short. Plus, I thought that most of the levels were either boring, or sucked.
you just said sonic 3 & knucles is the best game. but now most of its levels are boring or suck

what