If you don't know what consoles were in each gen you can look it up here:

http://en.wikipedia.org/wiki/List_of_video_game_consoles

1st gen: Before my time

2nd gen: Before my time

3rd gen: Punch Out!

4th gen: Shining Force

5th gen: Tie between Super Mario 64 and Star Fox 64

6th gen: Kingdom Hearts obviously lol

7th gen: Metal Gear Solid 4

8th gen: (Game I'm most looking forward to) inFamous Second Son.

Honorable mentions: Metal Gear Solid, Paper Mario, Ratchet & Clank Up Yor Arsenal, Jak & Daxter 3, Metal Arms Glitch In The System, GTA 3, and Okami.

3 - SMB

4 - Chrono Trigger

5 - Final Fantasy VIII

6 - Final Fantasy X/Persona 3, can't decide

7 - Demon's Souls, though that could change as I explore more of this gen...

3rd gen: Super Mario Bros
4th gen: Super Mario World
5th gen: GoldenEye
6th gen: Metal Gear Solid 3
7th gen: Journey
8th gen: Game I'm most looking forward to - inFAMOUS: Second Son.

3rd gen: Final Fantasy III
4th gen: Final Fantasy VI + Chrono Trigger (TIE)
5th gen: Final Fantasy VIII
6th gen: Final Fantasy X + Star Ocean: Till End of Time (TIE)
7th gen: Demon's Souls + Dark Souls (TIE)
8th gen: Not finished yet so I don't know!

Lol I love too many games from Sega but I don't even know from which console they were when I played them, so i'll start with the 5th generation.

5th: MediEvil (PS one)
6th: Ratchet and Clank: Up Your Arsenal (PS2), The Legend of Zelda: Wind Waker (Nintendo Gamecube)
7th: Uncharted 2: Among Thieves (PS3), SOULCALIBUR V

1st - 4th gen: Get that crap outta here. (No Super Smash Bros. FFS)
5th gen: Super Smash Bros.
6th gen: Super Smash Bros.
7th gen: Super Smash Bros.
8th gen: Super Smash Bros.

No Super Smash Bros., no likey >:{

With a name like KingomHeartsLover I would have expected different XD.

Wow, that's hard...

4th gen: Chrono Trigger
5th gen: Final Fantasy IX
6th gen: Shadow of the Colossus
7th gen: that's hard... I think it's Uncharted 2

Honorable mentions:
4th: Super Metroid, Final Fantasy IV, Yoshi's Island
5th: Final Fantasy VII/Tactics, Crash 3, The Legend of Dragoon
6th: Final Fantasy X/XII, Okami, Grandia 3, God of War II
7th: Uncharted 1/3, Arkham City, God of War III, Assassin's Creed 2/Brotherhood, Final Fantasy XIII


In case you haven't noticed, I'm not entirely confident that's my final answer :D

Omg I completely blanked on Shadow of the Colossus, should be in my honorable mentions.

Don't take the post too seriously. But honestly, while each Kingdom Hearts game is awesomely fun for 50-100 hours it slowly starts to get boring. I've clocked way over 1000 hours into each SSB game (should add that I ONLY play these games with friends) and have yet to experience a SINGLE boring match. Super Smash Bros. just nails offline multiplayer.