1) Top 4 Tied
Final Fantasy VIII Art Design, World, Presentation, My favorite Soundtack, The card game(my favorite minigame in anything), junction system is awesome, multiple ways to get magics, interesting setting. though has some plot holes, it's amazing. It was my first FF.
:Moment, Trying to kill Edea at the end in disc one.

Deus Ex (The ways to approach each situation mixed with character building, combat is a bit clunky)
:Saving The helicopter pilot, but shooting someone because they're suspicios :P

Mario 64 (The exploration/slight puzzles and atmosphere is amazing, though camera is wonky)
:Shooting yourself in a canon flying around with a wing cap

Zelda: Ocarina of Time (Great mix of atmosphere, a story that fits the game, fun puzzles going between old/young link, negatives are the water temple :P)
:Seeing that Princess Ruto, or zelda all growed up. 

5) Final Fantasy X-2 International. This game is so much fun, it is extremely silly. And hated on but IDC, this is possibly the most fun game I have ever played from a pure fun standpoint. Has a lot of really fun minigames. My favorite battle-system, Job system. Mission based, while not making everything feel completely modular. My favorite JRPG gameplay.  It's negatives are it's really girly/poppy/fanservicy.
:Yuna Dressed as a Moogle

There's technically 2 this gen, that I like as much as FFX-2, they are Deus Ex Human Revolution, and Demon Soul's. However, I have to continue to feel that way about them for a few more years before I'll say they are in my top 5.

1. God of War III (PS3)
Reason: Excellent gameplay and presentation, and probably the best boss battles I've ever experienced in my life.

2. God of War II (PS2)
Reason: See #1

3. Final Fantasy XIII (PS3)
Reason: I know how much it is hated... but I don't care. I loved the battle system, the story and the characters and almost everything else about it.

4. Final Fantasy X (PS2)
Reason: Amazing story, presentation and characters.

5. Tales of Vesperia (X360)
Reason: Also amazing story, presentation and characters.

1) LoZ: Links Awakening DX - Such a great game, perfect 2D Zelda in my opinion. Favourite moment - watching the Wind Fish fly overhead.

2) Civilization. My introduction to strategy games and such a great one. Fav moment - founding Rome.

3) LoZ: Ocarina of Time - Probably the best game ever made, brilliant from start to finish. Favourite moment - riding Epona on Hyrule Field.

4) Pokemon Red - It's pokemon, what can I say? Favourite moment - Safari Zone.

5) Portal 2 - An improvement on Portal in every way. Favourite moment - lemon grenades.

Edit: Argh! I forgot Morrowind, which probably actually belongs at #1 for me. Brilliant, compact and interesting world. Fav moment - everything involving levitation. Least fav moment - FUCKING CLIFF RACERS.

metal gear solid
for me it has the best story in any video game to date, playing it at the time it felt ahead of time going into cover, knocking on walls, and hiding under boxes

gta san andreas
best gta game and openworld had almost every landscape and i really enjoyed all the replay value it had with the side missions and min games

need for speed most wanted
for me it was the best street racer and still is, its open world, you can have cop chases anytime during the game and they were intense its also the last NFS that has drag racing

metal gear solid 3
just like with the first the story is very good and the boos battles are memorable i also like the jungle environment and it became even better when you unlocked stealthcamo i felt like the predator

any good nascar game
for me it was nascar 2002 on PC or nascar 08, im a fan of the sport since the late 80s and i spend hours on the games tuning the cars and racing against very good AI on the PC game or online where the competition is fierce

1. Deus Ex
Reason: The perfect mix of FPS and RPG gameplay with multiple routes to an objective combined with a superbly deep and involved storyline spanning numerous conspiracy theories. An absolutely amazing single player experience.
Fave moment: Everything on Hong Kong. The perfect Hub area.

2. Half-Life 2 (& Episodes 1&2)
Reason: An amazing campaign that combines hectic FPS gameplay, thought provoking puzzles and some of the best storytelling in video games.
Fave moment: Rushing a building with a squad when there's striders and gunships everywhere or the end of episode 2.

3. Deus Ex Human Revolution
Reason: See the description for Deus Ex. This prequel did a fantastic job of bringing that into the modern age but with a more modern tech and human focussed story.
Fave moment: Taking out troopers by jumping off a building, stunning them on landing with my aug, then killing them with my typhoon aug system.

4. Elder Scrolls IV: Oblivion
Reason: Superb open world RPG set in a relatively traditional fantasy setting. The quests are probably some of the best in the series.
Fave moment: Dark brotherhood quest where I kill off each of the victims in a locked house and they each get more and more scared of the killer on the loose.

5. Mass Effect 2
Reason: Brilliant characterisation with heavily improved shooer gameplay from Mass Effect 1 and variety in the main character missions.
Fave moment: Mordin singing, Mordin talking about inter-species relations... etc.

I have played so many games in my life and most of them were great, so its hard to which one was the best. But I´ll try it

1.) The Legend of Zelda: The Orcarina of time
Well this was the best game on my N64. The gameplay was pretty mostly, story was well I mean standard Zelda story still had something special. But what I liked most of this game were the emotions. The lovely Charackters the music, the detailed world and much much more...
Now its getting hard

2.) The God of War trilogy.
Well it was Hack´n Slash at its best. Amazing gameplay, awesome graphics, cool story and this amazing background music. But the best part where the Boss fights. I love old school boss battles.

3.) Mass Effect 2 &3 (not 1)
Textbook Sci-Fi story even I who really don´t like this Sci-Fi crap loved that story. But the most important things of this games are the characters Garrus and Tali my favorites but I really cared about every other Character as well. Jacob, Wrex, Thane, Liara, Mordin, Legion, Grunt amd Javik are amazing guys.

4.) Uncharted 2 & 3
The second part was multiple GOTY winner so I guess there is not much explanation neccesary. Both games are full of action and feature amazing graphics and add some interesting story, and you have one the best games ever.

5.) Tekken 5
Allways loved Tekken, and the 4th sequel was their masterpiece imo. Had everything a good Beat´em up needs and a little bit more.

5. Minecraft. I've never felt so free in my whole gaming life. Minecraft is a true sandbox experience unlike anything else before it. I'd take it over GTA and Skyrim any day.

4. Okami. It's not just a game. It's an embodiment of a culture.

3. The Legend of Zelda: Skyward Sword. The reasons why some hate Skyward Sword are generally why I love it. Its Metroid-like linear progression/nonlinear backtracking allowed for more focused, polished gameplay (all the puzzles are full of awesome) and narrative, while offering up plenty of neat sidequests and secrets. No other Zelda game can match Skyward Sword's surprisingly deep combat system, which is by far the highlight of the game. I do wish there was a way to turn Fi off, though.

2. Super Mario RPG: The Legend of the Seven Stars. My very first RPG. A perfect introduction to one of my favorite genres.

1. Metroid Prime. It's the only game I've beaten more than five times, and the first game I've ever 100%'d. I'd always find new secrets and better routes with each subsequent playthrough. However, Prime's real strengths are its unrivaled atmosphere, epic boss battles, and chilling music. Heck, I feel like playing through it again right now.

1. Tales of symphonia- Great story memorable characters and a really fun battle system. Tales games are good at getting people to get to know the characters in a good way i feel symphonia did this the best i knew so much about each character that I was a bit overwhelmed. The main character Lloyd has some great changes from a regular slacker with sword skills to a leader who is capable of saving two worlds on his terms.
2. Tales of the abyss- Great character development in the main character luke and the rest of the cast was really likable to me as well. The battle system was super fun to me and it was flexible in some ways just like symphonia's system Also the last 2 hour of that game are pretty incredible to me.
3. Xenosaga 1-3- This was maybe my first turn-based rpg ad it was a but much for a 14 year old, but I loved every minute of it epic story line and a challenging battle system. Th way the trilogy unfolds is pretty awesomely crazy to me even though twos story was to focused on one character. So pissed it was never finished i want 4-6
4. Okami- What!!! its like a better zelda. The story was great the combat was fun and had more options than i thought though it is a bit easy most of the time. I mean I believed i did so much awesome stuff in that game. More people should give okami a try it does alot of things better than most games and its ending made me tear up lol.
4. Wind Waker- My favorite zelda its not the best one to me, but the game just loved me and I loved it it could have been a bit longer though. Links expressions in that game are the best and the game will hold up forever to me in terms of its look and gameplay.

Awesome list, all favorites of mine too.

Top 5 for me atm

1. Everquest (original), 5 years of epic struggle in which I met my wife and moved to a different continent
Favorite moment: Chain stunning 30 frogloks in old sebilis while my wife area of effect nukes the @#%& out of them.

2. Civilization, played it for years while modifying civ.exe with a hex editor to create different game modes.
Favorite moment: Discovering SETI program to fill out all the unexplored parts of the map.

3. Ico/SotC collection, I still get tears in my eyes at the end credits of Ico, the vast landscape of SotC never looked better.
Favorite moment: Startling Yorda when you accidentally hit a wall with your sword, The underground collosus bending down and peeking into your hiding spot.

4. Grim Fandango, Adventure game perfection, original story with great humor.
Favorite moment: "Oh Manny... so cynical... What happened to you, Manny, that caused you to lose your sense of hope, your love of life?" "I died."

5. Journey, Amazing relaxing game that you can play through in an evening. Ico condensed in 2 hours.
Favorite moment: A new companion showing up and wondering what he/she is going to do.

Ugh top 5 is too small

6. Dark souls, Exploration at it's finest with all the danger and difficulty of Everquest.
Favorite moment: Being lost half way down to Blightown after falling onto a bonfire, slowly mapping out the environment mentally to discover a way out of the maze.

1. The Legend of Zelda: Skyward Sword

I never thought this would be number 1, when I first got it I really hated it. XD But now, it's a great (great!) game. I want to play it over and over, there is something to it that is just so awesome.

2. Pokemon Sapphire/Ruby

This may seem out of the blue to most (if not all) of you. The reason why I chose this is because it was literally one of my first games I had ever played. (Just shows how old I am right! ;D ) I probably playd it in excess of 30 times, I literally loved this game.

3. Pikmin

(My avatar!) ^_^ This game is really well made. I really enjoyed it but from what I can remember the games above were better. (IMO)

4. Mario Kart: Double Dash!!

Plain and simple; memories and very, very fun.

5. Super Mario Galaxy 2

The first one was great and this one is even better. Really well made game, just doesn't hold my attention too much.