I seriously can't believe you just asked about this. Your timing is PERFECT, as I've been compiling a pretty thorough list of RPGs, of which strategy RPGs are among my favorites.
So, here's what I've found:
Shining Force 1 and 2 (Genesis)
Shining Force Gaiden: Sword of Hajya (Gamegear)
Shining Force Gaiden 2: The Evil God Awakes (Gamegear)
Shining Force Gaiden: Final Conflict (Gamegear, playable via translation patch)
NOTE - Pretty sure all the Gamegear SF's take place between 1 and 2
Shining Force CD (Sega CD, playable on picodrive without the CD audio bgm, also this is an enhanced remake of Sword of Hajya and Evil God Awakes)
Fire Emblem 1 and 2 (NES, playable via translation patches)
Fire Emblem: Mushou no Nazo (SNES, playable via translation patch and you must disable battle animations in the in-game config. This is an enhanced remake of FE1 and an entirely new sequel)
Fire Emblem Genealogy of the Holy War (SNES, playable via translation patch)
Fire Emblem Thracia 776 (SNES, playable via translation patch)
Fire Emblem Sword of Seals (GBA, playable via translation patch)
Fire Emblem Blazing Sword (GBA, finally one that was localized outside of Japan!)
Fire Emblem Sacred Stones (GBA)
Ogre Battle March of the Black Queen (SNES)
Tactics Ogre: Let Us Cling Together (SNES, playable via translation patch)
Tactics Ogre: Knights of Lodis (GBA)
Densetsu no Ogre Battle (Neo Geo Pocket Color, playable only with online translation/walkthrough)
Final Fantasy Tactics Advance (GBA)
Front Mission (SNES, playable via translation patch)
Warsong/Langrisser 1 (Genesis)
Der Langrisser/Langrisser 2 (SNES, playable via translation patch)
Advance Wars (GBA)
Advance Wars 2 (GBA)
Onimusha Tactics (GBA)
FEDA (SNES, playable via translation patch)
Bahamut Lagoon (SNES, playable via translation patch)
Whew.... I think that's all I know of right now. I just got into the Fire Emblem games myself. There's a good chance one or more of them may become my favorite Strategy RPG.