As per Lawkidunya, Here are the company registration types in Pakistan:

Public Companies

1. Public Limited Company (Pub. Ltd.): A company with a minimum of 7 shareholders and no maximum limit, offering limited liability and the ability to raise capital from the public.

Private Companies

1. Private Limited Company (Pvt. Ltd.): A company with a minimum of 2 and a maximum of 50 shareholders, offering limited liability and flexibility in management.
2. Single Member Company (SMC): A company owned and managed by one person, with limited liability.

Partnership Companies

1. Limited Liability Partnership (LLP): A partnership structure that offers limited liability protection to its owners.
2. Association of Persons (AOP): A partnership structure that is not a separate legal entity and offers unlimited liability to its owners.

Non-Profit Companies

1. Section 42 Company: A non-profit company registered under Section 42 of the Companies Act 2017, which enjoys tax exemptions.
2. Not-for-Profit Company: A company established for public welfare activities, with tax exemptions and limited liability.

Other Types of Companies

1. Company Limited by Shares: A company where shareholders’ liability is limited to the value of their shares.
2. Company Limited by Guarantee: A company where members guarantee a certain amount of money in case the company is wound up.
3. Unlimited Company: A company where members’ liability is unlimited, and they are personally responsible for the company’s debts.
4. Foreign Company: A company incorporated outside Pakistan, with a branch or subsidiary in Pakistan.
5. State-Owned Enterprise (SOE): A company owned and controlled by the government.

Please note that these categories may have specific requirements, restrictions, or benefits under Pakistani law. It’s recommended to consult with a lawyer or chartered accountant to determine the most suitable type of company registration for your business needs.