SNES, PS1, and PS2 games for newcomers.

These are all the SNES, PS1, and PS2 RPGs that I recommend to people that have played little to none of them, and want to check out some great titles with gameplay that has aged quite well.

SNES games that I recommend:
If you're gonna play one, play Chrono Trigger.

Turn Based RPGs:
Final Fantasy 4
Final Fantasy 6
Super Mario RPG: Legend of the Seven Stars
EarthBound
Lufia 2 (if you like puzzles)

Action rpgs:
SoulBlazer,
Illusion of Gaia,
Terranigma,
Seiken Densetsu 3, aka Secret of Mana 2, aka Trials of Mana,
Shadowrun,
Brain Lord(If you like puzzles)
Zelda: A Link To The Past

PS1 RPGs I recommend:
If you play just one, play either Parasite Eve or Castlevania: Symphony of the Night

Turn based RPGs:
Final Fantasy 7
Final Fantasy 9
Grandia
Valkyrie Profile
Breath of Fire 3

Action RPGs:
Castlevania: Symphony of the Night
Legend of Mana

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PS2 games as well, because why not?
If you play just one, play Shadow Hearts: Covenant

Turn Based RPGs:
Final Fantasy 10, 10-2, and 12
Kingdom Hearts 2
Final Fantasy 12
Suikoden 3

Action RPGs:
Dark Cloud 2

Some action adventure games I recommend as well:
Bully
Beyond Good & Evil
The Suffering(both games)