Docker Compose for simple zabbix setup. I don't know much about docker or zabbix, so proceed with caution.

docker-compose.yml

version: '2'
services:
  zabbix_db:
    image: mysql/mysql-server:latest
    command: --default-authentication-plugin=mysql_native_password
    restart: always
    ports:
      - 3306:3306
    environment:
      MYSQL_ROOT_PASSWORD: supersecure
      MYSQL_DATABASE: zabbix
      MYSQL_USER: zabbix
      MYSQL_PASSWORD: supersecure
  zabbix_server:
    image: zabbix/zabbix-server-mysql:latest
    depends_on:
      - zabbix_db
    ports:
      - 10051:10051
    environment:
      - DB_SERVER_HOST=zabbix_db
      - DB_SERVER_PORT=3306
      - MYSQL_USER=zabbix
      - MYSQL_PASSWORD=supersecure
  zabbix_web:
    image: zabbix/zabbix-web-apache-mysql:latest
    depends_on:
      - zabbix_db
      - zabbix_server
    ports: 
      - 80:80
    environment:
      - DB_SERVER_HOST=zabbix_db
      - DB_SERVER_PORT=3306
      - MYSQL_USER=zabbix
      - MYSQL_PASSWORD=supersecure
      - ZBX_SERVER_HOST=zabbix_server
      - PHP_TZ="Europe/Isle_of_Man"