I share pretty much the same opinions as you, Turbo Sage. I've also always preferred the more "unusual" systems. However, I don't require a system to feature good games, the look of the console itself can be good enough for me to love it.
I used to think the PS2 was crap (when I first got it), but then I got some games that really charmed me, and after that I became a huge PS2 fan. There's so many games that I love on that system.
I played Breath of Fire during a very hard time of my life, and now I hate that game more than anything in this world, so yes - I know what you mean.
Seldane's Top 10 Game Consoles:
1. PS2
2. Genesis
3. Master System
4. PS1
5. Xbox360
6. SNES
7. Saturn
8. Xbox
9. Intellivision
10. Jaguar
Is that more your speed? 
1. PS2 - Works for me.
2. Genesis - It would be on my list, but not #2.
3. Master System - No.
4. PS1 - Never! I hate the PS1! Almost as much as Breath of Fire!
5. Xbox360 - This one is almost just as bad...
6. SNES - Would be somewhere on my list. Somewhere around 2-4.
7. Saturn - Yeah, this works.
8. Xbox - Not a chance in the world. Not ever.
9. Intellivision - No. I consider everything pre-1984 crap.
10. Jaguar - Definitely not. Atari disgusts me.
SNES, Game Boy, PS2, Mega Drive, Saturn and maybe NES would definitely be on my list. Possibly Game Gear (I love portable consoles) and N64 too.