Sung by a man, kind of pop music, chorus is:
"I'm a bionic man, bionic man..."
"I'm a -ma <something> machine.."

The title is not Bionic Man sadly enough. Anyone know?

FYI it was the Fabulous Poodles. They also had a minor hit with "Think Pink".

Are you sure that it's not "Bionic Man", cut #3 on their 1996 Album titled His Masters Choice ?

Is this it?:
http://www.jackson8.com/music/bionicman.mp3