Well you picked the right system. There's plenty.
Good on you picking up Chrono Trigger. That game is a LEGEND among super nintendo RPGS. It shares the top spot of my favourite JRPGs of all time list with The World ends with you, and for good reason.
The World Ends With You - (It's not your traditional turn based JRPG. But it's quite possibly the best JRPG I've ever played. Amazing story, amazing battle system, just all around incredible)
Final Fantasy 4 - Great remake of a classic
Infinite space - It's a pretty good space-themed RPG, still working my way through it.
Sands of Destruction - Ok, it's not fantastic, but it's still fun to play. The story handles the transition from lighthearted to serious pretty damn well. There was a point where I said "Man it would be awesome if THIS happened, but there is no way they would ever consider doing that"...AND THEN THE GAME DID IT and blew my mind.
Radiant historia - An excellent game about time travel and crossing timelines...even if the way the time travel works is a bit fridge logic-y. Also, switching from one timeline to another never stops being jarring. But I'd still recommend it.
Devil survivor - Ok, it's kinda a fusion of JRPG with some turn based tactics and pokemon thrown in, but it still counts IMO. Absolutely worth playing. The gameplay is fantastic, and the story is freaking great. PLAY IT.
Etrian oddessey series - It's JRPG meets oldschool dungeon crawler. Basically, you have a giantass labyrinth to explore, and you make your own party of custom characters to explore it. The story is usually not amazing in these games, but it's still enough to keep you interested. The hard-as-nails gameplay is where the appeal is.
-The First game is alright, but nothing too special (aside from the big twist at the final stratum that blew my freakin mind). The second is way better, the third is better still, and the 4rth one (the first 3DS one) is apparently (according to my buddy) incredible.
Magical Starsign - I...have trouble reccomending this. The gameplay is really fun, and the story begins as a really awesome and fun lighthearted romp through the stars with a gang of fun friends, but then the story decides that about halfway through it'll become depressing for no good reason, and ended in a way that made me go "WHAT?! ARE YOU SERIOUS?! COME ON WHAT WAS THE POINT OF ALL THIS THEN?!". I'm serious about the depressing part. They do stuff for the sake of drama in the second half that was so out of nowhere and so poorly done and so out of place that it made me VERY MAD.
Black sigil blade of the exiled: It's...kinda like chrono trigger, but not really...It's pretty good, but VERY VERY VERY oldschool in design. It's definitely flawed (especially the insanely high encounter rate). That said, if you can find a copy (It's rare as hell, last I heard, they made REALLY few copies), it's worth playing if you want something along the lines of Chrono Trigger, but not as good.
Golden Sun Dark Dawn: It's not bad, but...It's WAY too easy, even by Golden Sun standards. And the story, is...well..I'm 4 hours in, and I've since saved an ancient people, worked as a mercenary, fought some ancient sealed spirits in a crystal and opened up a skybridge machine...And all of this was totally incidental. I'm just trying to find this stupid feather to repair a hang-glider another character broke. >_> Basically, I don't feel like I have a worthy goal to pursue at all that's worth all this incidental saving people stuff.
Super robot wars endless frontier: I never finished this game because I wound up losing the cartridge, but...Well, it was kinda weird. The story was wacked out as hell (with funny/silly internet style non-sequitur humor), crossing over with Namco X capcom, and had a very bizzarre battle system involving keeping enemies stuck in the air with combos of attacks. But it was still pretty good, I guess.
There's also a good chunk of turn based strategy games (like Valkyrie profile covenant of the plume, which is amazing btw).
Oh, and AVOID SONIC CHRONICLES LIKE THE PLAGUE. That game was atrocious. It felt like something slapped together over the weekend. I made a game in 2 weeks that beats the crap out of that game in story, gameplay, look, and sound without even trying! >_<
That's all I can think of off the top of my head. There are probably others I missed.
Good on you picking up Chrono Trigger. That game is a LEGEND among super nintendo RPGS. It shares the top spot of my favourite JRPGs of all time list with The World ends with you, and for good reason.
The World Ends With You - (It's not your traditional turn based JRPG. But it's quite possibly the best JRPG I've ever played. Amazing story, amazing battle system, just all around incredible)
Final Fantasy 4 - Great remake of a classic
Infinite space - It's a pretty good space-themed RPG, still working my way through it.
Sands of Destruction - Ok, it's not fantastic, but it's still fun to play. The story handles the transition from lighthearted to serious pretty damn well. There was a point where I said "Man it would be awesome if THIS happened, but there is no way they would ever consider doing that"...AND THEN THE GAME DID IT and blew my mind.
Radiant historia - An excellent game about time travel and crossing timelines...even if the way the time travel works is a bit fridge logic-y. Also, switching from one timeline to another never stops being jarring. But I'd still recommend it.
Devil survivor - Ok, it's kinda a fusion of JRPG with some turn based tactics and pokemon thrown in, but it still counts IMO. Absolutely worth playing. The gameplay is fantastic, and the story is freaking great. PLAY IT.
Etrian oddessey series - It's JRPG meets oldschool dungeon crawler. Basically, you have a giantass labyrinth to explore, and you make your own party of custom characters to explore it. The story is usually not amazing in these games, but it's still enough to keep you interested. The hard-as-nails gameplay is where the appeal is.
-The First game is alright, but nothing too special (aside from the big twist at the final stratum that blew my freakin mind). The second is way better, the third is better still, and the 4rth one (the first 3DS one) is apparently (according to my buddy) incredible.
Magical Starsign - I...have trouble reccomending this. The gameplay is really fun, and the story begins as a really awesome and fun lighthearted romp through the stars with a gang of fun friends, but then the story decides that about halfway through it'll become depressing for no good reason, and ended in a way that made me go "WHAT?! ARE YOU SERIOUS?! COME ON WHAT WAS THE POINT OF ALL THIS THEN?!". I'm serious about the depressing part. They do stuff for the sake of drama in the second half that was so out of nowhere and so poorly done and so out of place that it made me VERY MAD.
Black sigil blade of the exiled: It's...kinda like chrono trigger, but not really...It's pretty good, but VERY VERY VERY oldschool in design. It's definitely flawed (especially the insanely high encounter rate). That said, if you can find a copy (It's rare as hell, last I heard, they made REALLY few copies), it's worth playing if you want something along the lines of Chrono Trigger, but not as good.
Golden Sun Dark Dawn: It's not bad, but...It's WAY too easy, even by Golden Sun standards. And the story, is...well..I'm 4 hours in, and I've since saved an ancient people, worked as a mercenary, fought some ancient sealed spirits in a crystal and opened up a skybridge machine...And all of this was totally incidental. I'm just trying to find this stupid feather to repair a hang-glider another character broke. >_> Basically, I don't feel like I have a worthy goal to pursue at all that's worth all this incidental saving people stuff.
Super robot wars endless frontier: I never finished this game because I wound up losing the cartridge, but...Well, it was kinda weird. The story was wacked out as hell (with funny/silly internet style non-sequitur humor), crossing over with Namco X capcom, and had a very bizzarre battle system involving keeping enemies stuck in the air with combos of attacks. But it was still pretty good, I guess.
There's also a good chunk of turn based strategy games (like Valkyrie profile covenant of the plume, which is amazing btw).
Oh, and AVOID SONIC CHRONICLES LIKE THE PLAGUE. That game was atrocious. It felt like something slapped together over the weekend. I made a game in 2 weeks that beats the crap out of that game in story, gameplay, look, and sound without even trying! >_<
That's all I can think of off the top of my head. There are probably others I missed.