Step 1: Understanding the Concept
The parasympathetic system works for rest and digest and is mostly opposite to the sympathetic system.
Step 2: Sort the activities
Pupil constriction, peristalsis and micturition are increased by parasympathetic action and reduced by sympathetic action.
Heart rate and arterial blood pressure are raised by the sympathetic system and lowered by the parasympathetic system.
Step 3: Conclusion
The set accelerated by the parasympathetic system is constriction of pupil, peristalsis and micturition.
Final Answer:
Pupil constriction, peristalsis and micturition are accelerated.
\[ \boxed{\text{(A) }\text{Constriction of pupil, Peristalsis and Micturition.}} \]