Can a body have:

(i) a uniform speed, but still have acceleration, and

(ii) a zero velocity, but still have acceleration? Give an example of a each kind?

(i) A body can have acceleration even when it has uniform speed. A body in uniform circular motion has uniform speed but at every point its direction of velocity changes, so its motion is accelerated.

(ii) Yes, a body can have acceleration even when its velocity is zero. When a body is thrown up, at highest point its velocity is zero but it has acceleration equal to acceleration due to gravity.