My choice addiction... Recommendations?

I'd recommend The Walking Dead.

animorphs

Do you mean games with different endings?

Because I know a couple of those.

Alpha Protocol fits what you're looking for, I think. Lots of opportunities to shape the story through dialog choices.

[edit]: Oooh, and Vampire: The Masquerade - Bloodlines. I always forget that one for some reason.

Like heavy rain?

Planescape: Torment would be perfect for you. It puts a lot of emphasis on choice, and the choices actually matter, unlike a lot of games today. Not to mention the amazing story and characters. Combat is ass, as is the pathfinding, and there's A LOT of reading (people call it "The book you can play" for a reason), but if you can deal with those, this is the pinnacle of story based games.

Not so much games with different endings, But more of a Choose x go to page x type of thing - Alpha Protocol would be nice, except I couldn't force myself to play it again XD And Vampires I loved that , But in the end - ALl choices led to like 3-4 different endings. =( And I will check out Planescape - I should of said it was for PC only since I do not have a Ps3 xD. But yes, One day I will play heavy rain.

Visual Novels fit your description perfectly.

I absolutely share your views on Bioware, though for that short time I played it Dragon Age seemed okay.

As far as recommendations go, I'd recommend an old adventure game called Blade Runner. It is very complex and frustrating, but it has some of the best writing out there, and if you're anything like me, you'll be easily immersed within it. It has multiple paths pretty much along the game, but beware because there are stances where you can force yourself into unwinnable situations (such as clues disappearing if you didn't see them the first time, etc).

Another recommendation is Fahrenheit or Indigo Prophecy. It's a rollercoaster ride filled with quick time events (not frustrating ones) and choices you need to make throughout the game. Only played it once but my ending turned out really depressing so I'll definitely play it more.

Fallout series

Fallout doesn't really work as its still has like 3-4 endings :P.

I WILL be checking out the long live the queen game I tried the demo and even it was awesome - Also will be checking more into the Hanako game series.

S.T.A.L.K.E.R series?

witcher 2 :)

I don't know how old you are, but maybe you remember the "Choose your own adventure" books. In particular, the Lone Wolf series.

Well if you're interested, check out Project Aon to download all the books for free (legally). I also remember a small program acting like an electronic character sheet to keep track of all your skills and abilities, just look around.