Narrative Writing 
A narrative essay is a piece of writing which demands one to tell a story, usually of a personal kind. The primary purpose of narrative writing is to share an experience which can somehow help the reader or relate to their feelings. This type of essay often includes characters, chronology, stylistic devices and might have a moral conclusion.
Characters
Chronology 
Moral/Lesson 
Expository Writing
 It is a writing piece that exposes a specific idea with the help of thorough analysis. It gives a clear conception of the theme and provides reliable evidence. Additionally, the expository essay might include various instructions. To master this type of writing, you have to do extensive research and outline the main ideas.
There are different types of expository essay: process, problem-solution, comparison and contrast, definition, and classification. Each of them has its own peculiarities:
In the definition essay the author writes the explanation of a complicated term that various people may understand differently
The comparison and contrast essay the author writes about the similarities and differences between the two subjects
The cause and effect essay is concentrated on the reasons which caused something and the consequences;
In the problem and solution essay the writer focuses on a particular problem and proposes a solution they consider the best
In the classification writing a broad topic is split into different groups and subcategories
The process essay explains how to do something following a step-by-step guide.
Common Features of Expository Writing
Clear - understandable and comprehensive 
Impersonal - Not include first person pronouns or biased opinions 
Explanatory - Explanations are required 
Descriptive - Full of details, explanations and examples to help the reader understand

Items