There are plenty of RPG series that make Final Fantasy seem unappealing.

First, my favorite series of games.

Tales of
Tales of Phantasia (SNES/PSX/GBA)
Tales of Destiny
Tales of Eternia (USA: Tales of Destiny 2)
Tales of Destiny 2 (Japan Only)
Tales of Symphonia
Tales of Rebirth
Tales of Legendia

Japan Only
Tales of Phantasia: Narikiri Dungeon
Tales of the World: Narikiri Dungeon 2
Tales of the World: Narikiri Dungeon 3
Tales of the World: Summoner's Lineage
Tales of Fandom
Tales of Tactics


Suikoden
Suikoden
Suikoden II
Suikoden III
Suikoden IV
Suikoden Card Stories(Japan Only)


Valkyrie Profile


Breath of Fire
Breath of Fire
Breath of Fire II
Breath of Fire III
Breath of Fire IV
Breath of Fire V (I can't recommend this one, because I haven't played it)

Disgaea

La Pucelle: Tactics

Xenogears

Super Mario RPG