Talking USA here:
No such thing as national police, InterPol is not a police force but is a cooperative law enforcement agency. What they do is try to coordinate police investigations between countries. They have no arrest powers (one of the definitions of police) EuroPol is the same for European Union countries and they work with InterPOl. Between them they have less than 1000 people doing any LE work.
CIA has nothing to do with law enforcement. They were supposed to be a foreign intelligence gathering agency but turned into a assassination and government overthrow agency back int eh 50's.
What you named are not different types of law enforcement unless you define types as jurisdictions.
FBI, DEA, Secret Service, and ATF (to name a few) are Federal Agencies. They all come under the Departments of Justice or Treasury. They can only investigate and enforce federal laws.
In the US the main power of law comes from the individual states.
CSI are just part of a police department that works in a lab or collect evidence. They are not a separate agency at all, in fact most people who do CSI type work do not have the power of arrest.
SWAT, ESU, HRT type teams are part of police departments. They are not separate types of law enforcement.
In most places until they are called up for an assignment they are what you call Regular Police Pat rollers.
So the different types of law enforcement by jurisdiction are Federal officers, state police who have jurisdiction to enforce all state laws, county police who are part of a sheriffs department and enforce state and county laws and municipal police who enforce state and local municipal laws.
Within those there are other types of law enforcers such as on a municipal or regional level school, transit, medical center authority police
On the county level some still have constables and township police.
In some areas they also have marshals, who normally are with the county.