Interesting thread. I'm not sure how I'd go about selecting my favourite system, because I love different systems for very different reasons. I'm partial to some classic systems, but more modern systems have so much to offer.

In the end it comes down to a number of different systems. Sega Saturn was one of my favourites as a teenager, it had some strong games (especially as I was finally old enough to understand that importing was the way forward because, fuck you Japan), but it's probably not the best system ever. PS2 is the system I have the most games for, and it was spectacular. Dreamcast has a special place in my heart as it was the last console I had before I moved out of my parents house; so the last time I could really throw myself into gaming. It also had some of the best games I've ever played. The PSOne has some incredible games, particularly the Final Fantasy series, but it's aged poorly if we're honest. The original Xbox was the spiritual successor to my beloved Dreamcast and had some great games in it's own right as well as being reliable and comfortable to use. The PS3 is probably the strongest console yet. It has a fantastic library, great features, a blu-ray drive, and it has most of the best PS2/PSOne games re-released on it anyway. Dammit... why would you make me choose.

OK. I'm going to have to go with... a tie, because screw you for making me choose.

Dreamcast

1. Sonic Adventure 2
2. Spider Man
3. Tony Hawks Pro Skater 2
4. Skies Of Arcadia
5. Resident Evil: Code Veronica
6. Tomb Raider: The Last Revelation
7. Rayman 2: The Great Escape
8. Crazy Taxi
9. Grandia II
10. Legacy of Kain: Soul Reaver


Playstation 3

1. Journey
2. Alice: Madness Returns
3. Dynasty Warriors 8
4. DmC: Devil May Cry
5. Need For Speed: Hot Pursuit
6. Castlevania: Lords Of Shadow
7. Spec Ops: The Line
8. Ratchet & Clank HD Collection
9. The Last Of Us
10. Remember Me

These are current personal favourites lists, not "best of" lists. They're likely to change over time, but currently these are my top 10 for these two consoles.

PS2:

- Final Fantasy XII
- Dragon Quest VIII: Journey of the Cursed King
- Metal Gear Solid 3 Subsistance
- Gradius V
- Gran Turismo 4
- Shadow of the Collossus
- God of War 2
- Shin Megami Tensei: Persona 4
- Ico
- Metal Gear Solid 2

Gamecube:

- Metroid Prime
- Resident Evil 4
- Resident Evil
- The Legend of Zelda: Twilight Princess
- The Legend of Zelda: Wind Waker
- Skies of Arcadia Legends
- Paper Mario: The Thousand Year Door
- F-Zero GX
- Pikmin 2
- Metroid Prime 2

PS3:

- The Last of Us
- Uncharted 2: Among Thieves
- God of War III
- Heavy Rain
- Ni No Kuni
- Flower
- Metal gear Solid 4: Guns of the Patriots
- inFamous 2
- Red Dead Redemption
- Uncharted: Drake's Fortune

I can't even pick which system is my favorite!

Wii U

Super Mario 3D world

Black ops 2

Pikmin 3

Snes:

Secret of Mana

Secret of Evermore

Terranigma

Yoshis Island

Super Mario

Illusion of Time

secret of mana 2

Streetfighter 2

Clayfighters

donkey Kong country 1-3

PS2
1. Resident Evil 4
2. Persona 4
3. Kingdom Hearts
4. God of War
5. Final Fantasy X
6. Dragon Quest VIII
7. Sly Cooper
8. Ratchet and Clank Up Your Arsenal
9. Silent Hill 3
10. Jak and Daxter

Nintendo 64

1. The Legend of Zelda: Ocarina of Time
2. Super Mario 64
3. GoldenEye 007
4. Mario Kart 64
5. Lylat Wars (Star Fox 64)
6. The Legend of Zelda: Majora's Mask
7. Banjo-Kazooie
8. Star Wars: Shadows of the Empire
9. Blast Corps
10. Mario Party

That number 10 gave a trouble, there's lot's a games that deserve to be mentioned, such an amazing system.

Playstation
1. Crash Bandicoot 2
2. Final Fantasy VII
4. Devil Dice
5. Final Fantasy VIII
3. Tekken 3
6. Final Fantasy IX
7. Kurushi
8. Crash Bandicoot
9. Wipeout 2097
10. Destruction Derby 2

Last 2 were hard choices, so many amazingly awesome games.

My favorite system is N64

My favorite games on the system?

1. Super Mario 64
2. Ocarina of Time
3. Perfect Dark
4. Banjo-Kazooie
5. Diddy Kong Racing
6. Resident Evil 2
7. GoldenEye 007
8. Turok: Dinosaur Hunter
9. Shadows of the Empire
10. WCW vs. nWo: Revenge

Not necessarily the best games, but the ones I played the most.

SNES

1. Super Metroid
2. Mega Man X
3. Earthbound
4. LOZ: A Link to the Past
5. F-Zero
6. Donkey Kong Country
7. Gradius III
8. ActRaiser
9. Kirby Superstar
10. Knights of the Round

EDIT: I'm going to be a cool kid and add my #2

NES

1. Castlevania III: Dracula's Curse
2. Super Mario Bros 3
3. Mega Man IV
4. Ninja Gaiden
5. Mega Man II
6. Kirby's Adventure
7. Life Force
8. Contra
9. Super C
10. Metroid

Ps2

1. Tales of The Abyss
2. Final Fantasy XII
3. Shadow Hearts
4. Soul Calibur III
5. Shin Megami Tensei: Digital Devil Saga 2
6. Shadow Hearts Covenant
7. Shin Megami Tensei Devil Summoner 2
8. Guilty Gear XX Accent Core
9. Monster Rancher 4
10. Onimusha: Dawn of Dreams