It might be the games I played and I had access to, but I have always associated the Super Nintendo with two kinds of games: JRPGs and subpar licensed platforms.
I didn't play too many games for the PS2 but what I did play were mostly JRPGs I couldn't play anywhere else.
Over the years I still associate certain consoles with certain genres. The PSX still makes me think of RPGs and fighting games and the Neo Geo with top-down or sidescrolling shooters.
So what genres do you associate with which consoles? Are the SNES and PS2 really a JRPG machine or did I live in an RPG bubble?