In the past month, I've bought and returned about six pairs of shoes in my quest to find the perfect cross-trainer after the Asics model I loved was discontinued.  I would get a pair, try jumping around in it, and notice foot pain or discomfort right away.  This pair is the best I've found, and is the winner!

I wish it had more cushioning in the sole of the foot and so I might add a gel insert to it, but overall it is great as a true cross-trainer.  I work out at home on carpet, and have used this so far for kickboxing (Turbo Jam), step, jump roping, Zumba, plyometric workouts (like Insanity), and circuit training, and it was worked well for each of those.

This shoe has a really wide side area; if you look at the photo, the purple plastic sticking off the side of the shoe is a wide extra area that looks odd, but that gives you a nice base of support.  It makes doing lateral movements a lot easier and provides good stability.

I also have high arches and a wide toe area, and this is perfect for that kind of foot shape.

It also fits true to size; sometimes I have to size up in athletic shoes, but my regular 7 1/2 fit perfectly in these.

Overall, it's a great shoe that works well for a variety of activities.