I haven't played many since but I love Vandal Hearts.

Final Fantasy Tactics, Jeanne D'Arc, Disgaea and Bahamut Lagoon are all awesome

If you really look at many of these Turn-Based Strategy RPGs, you'd have to still stretch the definition to make them fit. I would say that Advance Wars, especially Dual Strike is much closer to Fire Emblem than Fire Emblem is to Final Fantasy. Neither has an overworld, both offer some leveling up aspect, both offer in many ways very similiar combat, among other things. The only thing that seems to seperate Strategy games from Strategy RPGs are disposable units and a leveling up system, but Advance Wars Dual Strike lets you level up your CO and Disgaea has disposable units like the Prinnies. In fact most strategy RPGs are merely just another type of strategy game and lend themselves more to fans of Civilization than Dragon Quest.

It's true that AW:DS incorporates some RPG elements, like leveling COs and skill learning, but it lacks two things that I consider defining for an RPG: individual unit growth (that is, every unit progresses and levels up on its own, and is different to the others) and unit continuity (the units after a battle stay with you with the experience they've gained). Of course, it'all about opinion, and I agree FE really stretches the definition of an RPG. And I think the second FE for the GBA has an overworld, but I may be mistaken. And the prinnies aren't really disposable, I mean, you can throw them, and they explode, but you don't lose them forever, it's just like a kamikaze attack the Bombs from Final Fantasy have

Best: Disgaea, FFT and Jeanne D'Arc are my favourites
Least favoured: Fire Emblem and Phantom Brave (still loved both)

Haven't played any really bad SRPGs.

Oh shit really? Those lousy bastard tutorials in the game made it seem like my Prinnies would have to be replaced if I threw them, so I spent over 200 hours without using that strategy. Ok scratch that then, I didn't mean to spread misinformation.

If you mean the Sacred Stones for Fire Emblem, it doesn't have an overworld, just different locations you can go into on a pretty straight path. You can't actually fight on it.

I know Advance Wars isn't really that RPG-like but so many of these other strategy RPGs really aren't either. If I sat down somebody with Fire Emblem and they loved it, should I recommend them Persona or Advance Wars? I would say that person may get more enjoyment out of Advance Wars, and that's why I think these are really just strategy games, regardless of disposeable or non-disposeable units.

Also note that in most RPGs, your characters aren't purchased, but are acquired as part of the story. In Disgaea, they are purchased in the same way one would puchase a unit in a strategy game. There is just way too much overlapping for me to consider them much more than strategy games with RPG elements, while most mistakenly look at them as RPGs with strategy elements.

Best: Ogre Battle 64
Worst: Don't know haven't played enough of them.

Actually monsters can appear on it randomly for you to  fight IIRC.

Also, zexen hit the nail on the head with the differences between TBS and sRPG.

1)  Unique units vs Generic Units

2)  Units which accompany you across missions vs Units which are produced in missions

*I won't say leveling because a lot of TBS games have primitive leveling with ranks or the like.

AW is no more a sRPG than CoD4 is an RPG.  Leveling systems are not the only criteria for RPGs IMO.

Best: FFT, Disgaea

Worst: Spectral Force 3, FFTA

I knew you are going to say that  

Wait for ZenfoldorVGI jump up and yell at you defending his beloved FFT.

My favorites: Super Robot Wars series, Jeanne D'Arc, Disgaea series, Advance Wars series

New SRPG I really want to try: Valkyria Chronicles