I loved these two games. Completely awesome. I've played:

Fire Emblem (GBA)

Fire Emblem: Path of Radiance

Fire Emplem: Radiant Dawn

Final Fantasy Tactics

Final Fantasy Tactics Advance

So I guess there is some relevance to what I say. My favourite FFT is the one from PS1 and my favourite FE is PoR. Even though I love these titles so much, I'll give an edge to Fire Emblem. There are a few reasons for this.

1) I enjoyed FE stories much more.

2) Every battle in FE is meaningful and challenging.

3) There are many annoying unnecessary battles in FFT just for grinding.

There is only one thing that FFT does better than FE which is the spellcasters. Their spells are nicer to look at and are more diverse than in FE.