A few types of Operating Systems which I know about are as follows:

• Batch Operating System: A batch operating system is a computer program that automatically sequences jobs without the need for human interaction.
• Time-Sharing Operating System: Many people can share computer resources with a time-sharing operating system. There is maximum resource utilization in this type of operating system.
• Distributed Operating Systems: A distributed operating system (DOS) is software that manages a number of computers and makes them APPEAR to be one.
• Network Operating System: In-Network Operating Systems, computers with VARIOUS operating systems can connect to a common network. It is used usually for security purposes.
• Real-Time Operating Systems: Real-Time Operating Systems (RTOS) are employed in situations where a great number of events, most of which are external to the computer system, must be accepted and processed quickly or under tight deadlines. Industrial CONTROL, telephone switching equipment, aircraft control, and real-time simulations are examples of such uses.

Some examples of Operating Systems are as follows:

• Windows (Graphical User Interface Operating System based for Personal Computers)
• GNU or Linux (for Personal Computers, File and Print server, Workstations, ISP, Three-tier Clients and Servers)
• iOS (Apple’s OS for iPhone, iPad, and iPod Touch)
• MACOS (for Apple’s Personal Computers and Workstations like MacBook, iMac, etc.
• Android (Google’s Operating System for Google's smartphones, tablets, smartwatches, etc.)