Hello,
from your report, it isn't possible to understand the problem. Most likely, this isn't a issue of OP parameters but of your circuits basic operation. I guess, searching various OPs wouldn't help at all. The said AD8662 is suited for single supply operation, although not input rail-to-rail cause input range doesn't reach positive supply. Thus most likely your circuit prevents the OP from operating correctly.
If you show the circuit including connected load, the problem may be understandable.
Regards,
Frank