not tried the asymetrics, but have previously used the eagle F1's the grip on them was good, but i found the side walls were horribly soft, and they seemed to pick up punctures far easier than other tyres, and they shredded on rough surfaces like gravel.
i have the sessantas and have been very happy with them, nice stiff sidewalls like the bridgestones, excellent grip dry and wet. still very progressive breakaway. and alot harder to get the tyre to loose traction compared to the stones.
this website has been very useful and also links to sevaral tyre review articles done in magazines internationally. and nationally.
http://www.tyrereviews.co.uk/