Just started on this, so I'm not the best datapoint, but here's what I've got so far.

Old:
BoA cashback visa
Amex cashback

New 1/14:
Chase IHG
Citi AA
Barklays World Premier <- this will be the one I use primarily once it arrives

Pending 1/14:
Chase Sapphire Preferred

Denied 1/14:
Barklays US Air (they said I could only keep 1 of the 2)