World of JRPG's

My experience with tactical RPGs is also pretty limited, but I remember watching a playthrough of Vandal Hearts some years ago and thinking that some of the combat scenarios it presented were rather interesting. I've forgotten more-or-less the entire plot at this point, but still remember those encounters. Not sure I'd put that as a "must play" exactly -- I never did -- but it's worth taking a look at, at least, if you're interested in game design.

Valkyria Chronicles was also pretty interesting. I watched a playthrough of that as well as playing about half of it myself afterwards. It's got an unusual mix of real time control when moving characters around the map, time paused aiming, and other mechanics. If you haven't seen it already, that one is definitely worth checking out.

Nobunaga's Ambition.

Shin Megami Tensei: Devil Survivor - Overclocked and its sequel are simply stellar games. They are easily some of my favorite games overall although they are not classic SRPGs. They are a hybrid of tactical gameplay and the usual SMT battle system. Still, I cannot recommend them enough.

I've just discovered Unicorn Overlord, a spiritual successor to the classic Ogre Battle games, where you form teams of units to send around the map. Story's a bit bland but I like the gameplay and the complexity curve that gradually introduces more unit types and bigger formations, making it very approachable, and I'm not aware of another game in that style since Ogre Battle 64.

Ofc there's a lot of Fire Emblem games, and many of the older ones hold up just fine. Awakening (3DS), Path of Radiance (Gamecube), and Blazing Blade (GBA) are solid all around. Radiant Dawn (Wii) is ambitious and jumps between groups which tells a fairly complex story and keeps the game fresh, but some groups (the starting one in particular) have much weaker units that you probably won't want to use later on. The SNES ones (Genealogy and Thracia 776) are good, both are very distinctive (Genealogy was strangely my introduction to the series, and remains a personal fav), but use a guide. The other GBA ones (Binding Blade and Sacred Stones) are fine but personally I didn't get hooked; Fates seemed like it had amazing gameplay but I couldn't stomach the level of incest/anime tropes; the early games and their remakes are a bit bland imo (though Shadow Dragon gives you a lot of flexibility in reclassing characters which was neat).

The Front Mission series has a similar format to the tactics games you mentioned, but instead of fantasy it's mechs. The original SNES game got a remake (Front Mission 1st) and I've only played the original but it's really good, you get a lot of different customization on how to put together your team of mechs.

Kinda deviating from the premise but the Shadowrun games are good. Dragonfall is my favorite, but Hong Kong and Shadowrun Returns are good too. Lots of character depth and challenging tactical gameplay.

Honorable mentions: Fell Seal: Arbiter's Mark is ok, it's heavily inspired by FFT and it does a pretty good job imitating it while introducing some new stuff but it's hard not to compare the two and it doesn't quite live up to it. Wildermyth is worth mentioning, the sidestories are very artsy and it kinda works in what it sets out to do which is giving your random characters distinctive feels and stories, but tbh it'd probably be better if the characters just weren't random. Tactics Ogre: Knight of Lodis (GBA) is pretty good imo but I haven't played LUCT so idk how it compares. I haven't played Triangle Strategy but it's on my list, ditto for Tactics Ogre: Reborn.

Have you played all of the FFT games?

There's the original playstation one and the re-release war of the lions (which are fundamentally the same game)

There's also the gameboy advance title FFT:A and FFT:A2 for the DS.

Easy enough to run an emulator to play them and they play well.

If you're into old stuff, I'd recommend Shining Force on the Sega Genesis. This was one of the earliest strategy RPGs in the west (at least on console).

There might've been earlier ones, but this came out in the West only 2~3 years after the original Fire Emblem came out in Japan (exclusively).

This was made by the company that would go on to make the Golden Sun games (not SRPGs, but more cult classic JRPGs)!

Bahamut Lagoon is still one of the best written games ever. Find a translation if you need to. It's wonderful