I enjoy valkyria chronicles so far. It's has real time elements and turn-based elements. Generally, I dislike turn-based games like Final Fantasy Tactics, because it's so slow and takes so long. Valkyria Chronicles doesn't feel that way.
The main thing I dislike about Valkyria Chronicles is the excessive "cutscenes". It's not as bad as Metal Gear Solid 4, but I want to play the game when I'm playing a game!
Another issue would be that later levels require some extent of trial and error, because the player isn't educated enough about what the obstacles are or how to approach the fight against the enemy. I wouldn't hate this so much if there was just a "restart level" button somewhere in the menu. However, it does allow you to save at practically anytime.
Other than that... You know, the best thing I can recommend is to try the demo. After seeing trailers and videos, I wasn't sold on Valkyria Chronicles when it was released. But after trying it, even with the simplistic battles, I actually enjoy it. The game's appeal in my opinion is the strategic element and my perception of the characters in my battalion almost like my pokemons.