In no particular order:

Final Fantasy 1 (American version)
Legend of Zelda
Super Metroid
ZombiU
Golden Eye
Perfect Dark
Chrono Trigger
LOZ: OoT
Contra
Sportsball

Ocarina of Time....
Xenoblade...
Metro is Prime...
Super Mario Galaxy/2...
Super Mario 64...
Eternal Darkness...
F-Zero GX...
Kid Icarus: Uprising...
Animal Crossing: New Leaf...
Donkey Kong Country 2/3...
Upon finishing this list, it occurs to me that I did not include EarthBound or A Link Between Worlds...
I also didn't include third party titles...
Life is filled with too many difficult choices...

Super Metroid
Okami
Metroid Prime
Phoenix Wright: Trials and Tribulations
Fire Emblem: Awakening
Metroid Prime 3: Corruption
Super Smash Bros (some iteration)
Metroid Prime 2: Echoes
Metroid Fusion
Phoenix Wright: Dual Destinies

1. Pikmin 3

2. The Legend of Zelda: A Link Between Worlds

3. Pokemon Heargold/Soulsilver

4. Metroid: Zero Mission

5. Super Mario World

6. Castlevania

7. Xenoblade Chronices X

8. Super Mario Galaxy

9. Pokemon X/Y

10. Metroid Prime

There's a few amount of games that could be there if I were to play them, like Xenoblade Chronicles, RE 4, and Okami. And there're also a lot of games from the GC and N64 era that I havent played.

1. Paper Mario: The Thousand Year Door
2. Pokemon Emerald
3. Fire Emblem Radiant Dawn
4. Fire Emblem Awakening
5. The Legend of Zelda: A Link Between Worlds
6. Pokemon Crystal
7. Paper Mario
8. Super Mario 64
9. Super Smash Bros Wii U
10. Fire Emblem 7

The Legend of Zelda The Wind Waker
Fire Emblem Awakening
Tales of Symphonia
The World Ends with You
Rune Factory 4

Dragon Quest IX: Sentinels of the Starry Sky
Splatoon
Disgaea DS
Super Smash Bros 4
Rune Factory 3

..lists changes every so often, but top 5 is solid unless a new game comes in to take the spot

I love a good list thread :)

For the sake of convenience, I'm going to limit myself to games that debuted on a Nintendo console. Hope that's OK.

10) The Legend of Zelda: Majora's Mask
9) Banjo-Kazooie
8) Super Mario Bros. 3
7) The Legend of Zelda: A Link to the Past
6) Super Metroid
5) Xenoblade Chronicles
4) Super Mario 64
3) Final Fantasy VI
2) Resident Evil 4
1) The Legend of Zelda: Ocarina of Time

Man, hard to limit the list to only 10 games.

Donkey Kong Country Tropical Freeze (WiiU)
Star Fox (SNES)
Resident Evil 4 (Gamecube)
Xenoblade Chronicles X (WiiU)
Donkey Kong Country (SNES)
Zelda Skyward Sword (Wii)
Pikmin 3 (WiiU)
Metroid Other M (Wii)
Jurassic Park (SNES)
Biker Mice from Mars (SNES)

1. The Legend of Zelda: Ocarina of Time
2. Pilot Wings 64
3. Banjo Kazooie
4. Goldeneye 007 (N64)
5. The Legend of Zelda: A Link To The Past
6. Super Mario Land (GB)
7. Super Mario 64
8. The Legend of Zelda: Wind Waker HD
9. The Legend of Zelda: Skyward Sword
10. The Legend of Zelda: Twilight Princess HD

Honorable mentions: Super Mario Bros (NES), Splatoon, Mario Kart 8, Mario Galaxy, Mario Kart 64.

1. Xenoblade
2. Zelda Ocarina of Time
3. Chrono Trigger
4. The World Ends with yo
5. Zelda Majora's Mask
6. Zelda Skyward Sword
7. Zelda Twilight Princess
8. Final Fantasy VI
9. Kid Icarus Uprising
10.Paper Mario TTYD