This might be another way of looking at it-
Pivotal turns- Kites that turn more around the central axis of the kite.
Advantages =
-Tighter loops
- Even slower turning kites will turn OK once they get to the pivotal phase
- Wave riders can punch the kite through a turn without being pulled out front or over the back
Driving or Arcing turns-Kites that turn more around the inside wingtip whilst the rest of the kite continues to drive forward.
Advantages =
- More powerful in the loop
- Generate more power in turns and when signing the kite
- Steering generally feels more direct and natural
- Doesn't wash power from the kite during the loop like a pivotal kite as the whole kite continues fast forward flight
As for the second part of your question this may be more difficult as it's not just the turning you are considering.
If you are looking for a kite to put the excitement back in I would suggest looking for the following-
- Short throw bars tend to indicate a more aggressive kite
- Kites with more wing or more C shape will generally but not always power more through turns
- If looking for a bridled kite look for something with a direct back line connection
- Ask your store which kites drive in the turn.
- Just get a "C" kite

Of course all of these things are a general guide and there will always be exceptions so maybe get out there and try.
Jas