The Schengen Agreement is a treaty that was signed in 1985 allowing for the free movement of people and goods across member countries` borders. The treaty was named after the small village of Schengen in Luxembourg, where it was signed. However, not all European countries are part of the Schengen Agreement. Here is a list of countries that are not part of the Schengen Agreement.

1. United Kingdom: The United Kingdom (UK) was never part of the Schengen Agreement, and it is not part of the European Union (EU) anymore. The UK left the European Union on January 31, 2020, and is now in the process of negotiating a new trade deal with the EU.

2. Ireland: Ireland is not part of the Schengen Agreement, but it is a member of the EU. The Irish border with Northern Ireland is a significant political issue that has been a topic of debate for many years.

3. Bulgaria: Although Bulgaria is a member of the EU, it is not part of the Schengen Area. It does, however, use the Schengen Information System (SIS) to monitor cross-border movements.

4. Romania: Romania is another EU member that is not part of the Schengen Agreement. The country has been seeking to join the Schengen Area for many years, but its accession has been delayed by several factors, including concerns about corruption and the rule of law.

5. Croatia: Croatia is also an EU member that is not part of the Schengen Area. The country has been implementing many measures to meet the Schengen Area`s criteria, and its accession is expected soon.

6. Cyprus: Cyprus is an EU member that has not yet joined the Schengen Area. The country has been implementing many measures to meet the Schengen Area`s criteria and its accession is expected soon.

7. Cyprus: Cyprus is an EU member that has not yet joined the Schengen Area. The country has been implementing many measures to meet the Schengen Area`s criteria and its accession is expected soon.

In conclusion, the Schengen Agreement has been beneficial to the EU member countries, allowing for the free movement of people and goods across borders. However, some countries have not yet joined the agreement due to various reasons. The list above outlines the countries that are not part of the agreement.