Now, a few more series that I've always heard of but never tried are Persona (RHDN), Valkyrie Profile (This very forum), Xenosaga (Various places), and the Soul Blazer series (Fantasyanime.com).
Now I ask, thou with knowledge, this question--I like Breath of Fire, Chrono Trigger, Chrono Cross, Dragon Quest, Final Fantasy, Lufia, Mana, Star Ocean, Tales,Wild ARMs, and Zelda.
Good set of games to like.
Would I like any of these games?
That depends. I haven't played any of the Persona games, so I can't comment on it.
The differences between Valkyrie Profile's 1 & 2 are actually quite vast (in terms of story). The battle system is very good in 2. Battles in 1 can take forever, because if you build up long chains of attacks, the Soul Crushes can take forever to view, while they are skippable in 2. Having played more of 2, I will say you will probably enjoy it. It does start kind of slow, but it's pretty good overall.
As for Xenosaga, they are all slow, mainly because of the immense amount of story you have to see. Luckily all cut-scenes are skippable, but the games still take forever to get through. Do not
start with II if that's the first one you can get your hands on. It is by far the worst of the three. III greatly makes up for II, but all can be unbearable if you aren't prepared for a long sit-down. On the up-side, the series ties into Xenogears quite well, so if you have played that then you will be able to piece together quite a few things.
Haven't played Soul Blazer.
I'd add one more series to your list, and that's Suikoden. I haven't been able to get my hands on I or II, but I do have III, IV, and V. V is an absolute gem. III was the first game I played, and unfortunately it is viewed by many as the worst of the series. I thoroughly enjoyed it though, except for the many hours that can be spent going back and forth. IV was a weird adjustment for me, but it has many superior things compared to III (like flow). Many consider II to be the best of the series, but I can't speak to that.
Hope that helps.