Yes.

Anything by Julian Gollop (all the way back to Chaos, Rebelstar, and up to Phoenix Point)

Fire Emblem

The ancient war games by CCS

Theatre Europe

I play JRPGs a lot, but the best one to do this right is Etrian Odyssey, mostly because you can make combat (inputting + animations) really fast, and make even normal enemies interesting challenges. People don't complain about having to wait for your foe in chess, and that's because it doesn't take you 5 seconds to move a pawn, and the foe is usually a fair challenge. (Arguably, video games can be even better at this than chess, because the AI doesn't need time to think. Instead of smarts, it usually has the stat advantage)

SMT(including Persona) generally does this fine, and Fire Emblem can either look decent with animations off, or speedy enough even with them (most of the time is spent thinking than waiting, either way - the goal). Those are my top 3 series.

On the opposite end, mainline Pokemon might be the worst turn-based combat I ever played, even if the mechanics are solid. I don't want to wait 3 seconds just for "crit + effectiveness + fainted" to display, even more so if most of trainers and random fights aren't challenging.

chess

Into the Breach

X-Com Enemy Unknown & X-Com 2, Baldurs Gate 3, Expedition 33 are all wonderful turn-based games. I like games where I can set up and execute a plan of action.

Diplomacy is amazing, although I've only played it a few times and not at a high level.

Advance Wars 1 and 2, absolute bangers

The modern X-COM games, South Park: Stick of Truth, Baldurs Gate 3, HoMM 3 and 5, Disciples 2, Dragon Age: Origins (its basically turn-based) and FTL in the same vein

I do prefer it for games with stat-based combat. Pokémon, Advance Wars, Fire Emblem, Baldur's Gate 3, Pillars of Eternity, Into The Breach

Fallout

I prefer it personally. I'm not a fan of games where combat is decided by reaction times and is high energy. I prefer to use proper preparation and strategy to win fights. And turn based is best for that. I'm also not a fan of "dice roll" style game mechanics for the same reason. Like Fallout New Vegas's speech system > Fallout 3's speech system. Because its based on a set skillcheck instead of a dice roll adjusted by your skill.

Slay the Spire 2. You start from being able to deal 6 damage per card and scale your way up to crazy numbers, each play gets you to choose different playstyles based on what cards you get and pick.

Wasteland 3 (I've only played that one)

Dragon Quest series is roundly awesome

FFX will always be my favorite, I still think it's the best story of the franchise. Other ones I like are Golden Sun, FFIV, Super Mario RPG, Crono Trigger was good too (just played that for the first time). Lufia I and II are worth mentioning while I never beat them start to finish I was often at a friends house who had them and watched a good deal of it. I'm gonna try to play those soon, I recall liking the story but I can't remember too much of it anymore.

Paper Mario 1/2 and the 2 South Park RPG games!

Chrono Trigger comes to mind

Persona 5

Expedition 33

Many deckbuilder roguelikes I've played (chrono ark, lost branch of legends, slay the spire, ...) but that might not be what you meant

monmusu quest paradox rpg (warning extremely nsfw)

Ok i was gonna spoiler the last one for mild comedic effect but i forgot how to spoiler tag on here and gave up

Masters of Orion 2

XCOM series and similar turn based tactical games like Xenonauts 2 and Phoenix Point (most recently Star Wars Zero Company)

Age of Wonders 3

City of Gangsters

Fights in Tight Spaces

Phantom Brigade

Jagged Alliance 1 through 3 (but not Back in Action)

Shadowrun Returns and Dragonfall

All the time. Four-guys-in-a-line is one of my favorite genres. Final Fantasy 6 might be my favorite one.

More recently I quite liked Dungeon Antiqua 1 and 2, which are indie games. 1 is like "What if Final Fantasy 1 was slightly more like Wizardry (and also just one big dungeon)?" and 2 is like "What if Final Fantasy 3 was all dungeons?"

Chinese checkers

I grew up playing the Final Fantasy series starting on the NES. I recently got FF7 remake on steam sale and have been putting time into that, but they did change it from turn based. I think at least FF1 - 11 are solid turn based games. Don't think I played any after 11

Grandia and Grandia 2. Atlantica Online.

Disgaea, dood.

Baldur's Gate 3 and Expedition 33

First one is a great game, but combat is not the most important feature of the game IMHO.

The other is very good, and the combat is more relevant.

I think that the engagement is being able to build a strategy on how to win, instead of rely more on reaction.

XCOM (most enjoyed Enemy Within, with Long War, other versions also generally good), just a masterpiece.

Into the Breach, probably the cleanest, and a great theme.

Lots of deck-ish based battlers: Slay the Spire (1 and 2), Backpack Hero, Monster Train

The Last Spell, Battle Brothers

Lots of D&D or adjacent stuff that board/tabletop-like: Balder's Gate 3, Gloomhaven/Frosthaven.

Edit: Wasteland series and Shadowrun series also great.

Very rarely. Pokémon and Expedition 33 are the only ones that come to mind outside of more casual games like Super Auto Pets or Balatro

I generally prefer turn based, so no specific game

I generally enjoy turn based. I like casual stuff I can be interrupted while playing and not be fucked. All the way back to final fantasy.

But my favorite, bar none, is bg3. The immersion level is high for me, the overall gameplay is top end, and the whole d&d world ties the knot

For the king 2 has great turn based combat imo

Advance wars on the gameboy advance. When I was in the navy weʻd do the turn based 4 person mode with fog of war, and just hand it around the ship or when we were on leave.

Most of the time, I hate turn based combat. For instance Xcom 2 was not fun for me. I really enjoyed playing Dungeon Crawl Stone Soup though.

Baldur's Gate 3.

I normally hate turn-based games with a passion, but they way they handled it is amazing. Combat is visceral, brutal, and rewards the player for spending time to think before they act. You can do some really crazy stuff if you think outside the ~~box~~ prism.

Tiiiiime ago:
Vandal Hearts
and later:
Battle for Wesnoth
I don't play videogames anymore, but the last is an opensource absolute gem, still developed and continuously improved.

The original fallout had fantastic turn based combat, and some of the kill animations were superb

Caves of Qud

the x-com reboot games are great

some people like chess

Rarely. For some reason I had a ton of fun with Field Commander on PSP. For its time and console limitations, it was excellent.

The Like a Dragon games from the Yakuza series are turn based. You can move around and interact with the environment and party members during character turns, so I feel a bit more involved than just issuing a command.

I didn't think I'd enjoy it after the more brawling style of gameplay in the other games, but it works well for the story, and they feel like their own thing rather than just another iteration of the same with a different MC.

I'll throw in one with a real-time turn-based combat system: Megaman Battle Network The actual fight part is real time but you get to do the strategy part in turns

Bag tag

As far as a video game goes, I think that Persona 5 made it fun because it had enough of a progression and twist on the series’ standard mechanics.