There are many different types and brands of CNC turning centers, and the best-selling models can vary depending on the specific application, industry, and region. However, some popular and widely used models include:

1. Haas ST-Series Lathes – Haas Automation is a well-known brand in the CNC industry, and their ST-series lathes are known for their reliability and versatility. They offer a wide range of models for different applications and industries.
2. Mazak Quick Turn Lathes – Mazak is another well-known brand in the CNC industry, and their Quick Turn Lathes are known for their high precision and productivity. They offer a wide range of models for different applications and industries.
3. Okuma Lathes – Okuma is a well-known brand in the CNC industry, and their lathes are known for their performance, reliability, and versatility. They offer a wide range of models for different applications and industries.
4. DMG MORI Lathes – DMG MORI is a well-known brand in the CNC industry, and their lathes are known for their high precision and productivity. They offer a wide range of models for different applications and industries.
5. Doosan Lathes – Doosan is a well-known brand in the CNC industry, and their lathes are known for their high precision, durability, and efficiency. They offer a wide range of models for different applications and industries.

It’s worth noting that the best-selling CNC turning center machines also depend on the region, some brands might be more popular in one region than another. Also, the best-selling models change over time as new technologies and models are introduced, so the list above may not always be the most up-to-date.