The ‘main line’ for recent turn-based-strategy games in that mode is going to be the myriad titles published by Nippon Ichi for the PS2, that Bippy refers to. My personal experience with them is that the gameplay is alright but the story and feel of the games is just a bit too… anime, for my enjoyment anyways. Okay, so I don’t really like “stereotypical” anime at all and the Nippon Ichi games tend to be extremely heavy on it
Some other good stuff, though, includes:
Shining Force is the lowest common denominator of the genre. SF2 for the Genesis is the best, IMO, and is tons of fun even if it’s pretty simple. It was my introduction to the genre so it has a little place in my heart
Note that virtually all of the new “Shining” games for various systems are not, in fact, continuations of the main-line SRPG series, though there was a remake of SF1 for the GBA that was reportedly quite good.
Tactics Ogre, for the PS1, and Tactics Ogre for the GBA: It took me a little bit to get into these because FFT was my first experience with anything in the genre more complicated than Shining Force, and Tactics Ogre is… well… a bit different, in some ways. Once I got into it, though, it’s a great game, and I actually just bought the GBA game and am enjoying it so far. The PS1 version, at least, is a similar sort of story to FFT - though FFT is probably my personal favorite video game storyline ever.
Fire Emblem is, many will tell you, the “original” SRPG series, as FE1 came out for the NES a loooonnggg time ago. Only, the first one to be released in the US was FE7 for the GBA (just named Fire Emblem for the US release); it was hugely successful, and 8 and 9 have subsequently been released for the GBA and GC, respectively, with the next installment tentatively announced for the Wii. I have heard that the early games were kept from English releases because they dealt with themes that were too mature for Nintendo’s US image; I have no idea if that’s true. Either way, all three games are excellent both in terms of gameplay and in story. If you have access to the japanese versions in any manner, FE4 and FE6 are great as well.
Well, probably not - particularly because there is a not insignificant group of people out there who rank FFT among the greatest games ever, for any platform. Either way, though, GameSpot gives LOTR: Tactics for PSP a 6.5, which is pretty low for them since anything worth playing generally gets a 7 or higher by default (GameSpot doesn’t differentiate that well at the high end, but if they give something a bad review, it’s usually worth noting).
If I think of anything else I’ll inevitably be back. I LOVE these sorts of games and turn-based-strategy in general.