Interestingly, a game isn't necessarily on my list just because it is 'good' - some of it boils down to nostalgia and me being picky over certain elements. I've sorted this list into categories.
Perhaps we can agree to disagree on some of them??? =D
I've highlighted what I think are some of the outstanding ones in each category.
Outright Favourite Games
Advance Wars (Series as a whole)
Bugs Bunny: Lost in Time****
Dragon Age: Inquisition^
Jak and Daxter: The Precursor Legacy***
The Last of Us
The Talos Principle
Highly Commendable (~9 - 9.5 out of 10)
Batman: Arkham Asylum
Batman: Arkham City
Crash Bandicoot (Series as whole)
Crash Team Racing
Donkey Kong 2
Sid & Al's Incredible Toons**
The Elder Scrolls (Series as a whole)
Uncharted (Series as a whole)
Commendable (~8.5 - 9 out of 10)
Sly Cooper 4: Thieves in Time
Street Fighter (Series as a whole)
Tales of Xillia
Tomb Raider (Series as a whole)
Argh, games agonizingly close to Commendable but I couldn't in good conscience put them there (even though I'd like to)
Final Fantasy X
Final Fantasy XII
Ni No Kuni
Tales of Symphonia
Highly Influential Games - Games that were not necessarily fantastic but still (often, positively) influenced the way I thought about games
Arc the Lad^^
Beneath a Steel Sky
Bugs Bunny and Taz: Time Busters
Final Fantasy VIII
Final Fantasy IX
(The Final Fantasy Series)
Kingdom Hearts Series
Pokemon (Series as a whole)
The Simpsons Game
The Spirit Engine
+ certain games from the DOS CDs titled '101 Only the Best Games' or '101 Best Games' which I can't remember the names of
Games that I admire from a gameplay point of view and enjoyed playing, but they aren't really my genre and I don't classify them as 'favourites' as such
Shadow of the Colossus
*(Although there is an argument to be had that, because Rayman Legends essentially includes Rayman Origins' levels, Rayman Legends is just as good as Rayman Origins -- but I think of the two as separate games)
** Fond childhood memories of playing this on the DOS disc '101 Games'.
*** The second game I thought was rather poor, although some of it was quite good.
**** I feel strange about this one. Though objectively not everyone's favourite, for some reason I really loved this game.
^ Still playing these.
^^ I want to revisit this, as I can't quite recall the details - I was very young when I played this.