No particular order.

1. Terranigma
2. Chrono Trigger
3. Seiken Densetsu 3
4. Final Fantasy VI
5. Final Fantasy IV
6. Golden Sun: The Lost Age
7. Tales of Symphonia
8. The World Ends With You 
9. Fire Emblem: Radiant Dawn
10. Fire Emblem: Blazing Sword

 

 

Wish I had played ->
terranigma
Lufia
Lufia ii
Seiken Densetsu 3
DQ 1 2 3 6


Sitting in wrapper to be played/finished ->
Baten Kaitos
Paper Mario: The Thousand Year's Door
The World Ends With You
Paper Mario
Super paper Mario
M&L partners in time
FE RD
FE (GC)
Ogre Battle 64
Tales of Symphonia
Mario And Luigi 3 - Bowser's Inside Story
DQ 4 5
FF 1 2 3


Top 11 -> (that's all consoles actually...)
Zelda (original)
FF VI
Secret of Mana
Chrono Trigger
Zelda A link to the past
Super Mario RPG
Zelda Link's awakening
FF Adventure
FF IV
Ogre Battle
Breath of Fire II


Other worth mentioning->
All other zeldas
Secret of Evermore
Breath of Fire
FF V
Golden Sun 1 2
FF Legend 1 2 3
Earthbound

Easier to just name the series than to pick the exact ones No real order

Super Mario RPG's/Paper Mario SNES, Wii, DS, GBA

Dragon Warrior/Quest

Final Fantasy

Golden Sun

Tales of ....

Kingdom Hearts

Pokemon

Super Robot Taisen OG Saga

Only considering the ones I finished:

1- Final Fantasy V
2- Final Fantasy I
3- Mario & Luigi: Superstars Saga
4- Mario & Luigi: Bowser's Inside Story

5- Paper Mario

6- Pokémon Blue

7- Pokémon Silver

8- Pokémon Ruby

 

These are the ones I remember. There a lot of others that I haven't finished tough.