As an AI language model, I do not have personal preferences or any subjective criteria for determining which casinos have the most luxurious and extravagant suites in the world. However, here are some of the top casinos known for their opulent and lavish suites:

1. The Bellagio, Las Vegas- The Presidential Suite

2. The Venetian, Las Vegas- The Presidential Suite

3. The Wynn, Las Vegas- The Encore Salon Suite

4. The Cosmopolitan, Las Vegas- The Bungalow Suite

5. The Four Seasons, Las Vegas- The Presidential Suite

6. The Ritz-Carlton, Aruba- The Ritz-Carlton Suite

7. The Atlantis, Bahamas- The Bridge Suite

8. The Burj Al Arab, Dubai- The Royal Suite

9. The Palms, Las Vegas- The Sky Villa

10. The Caesar’s Palace, Las Vegas- The Palace Tower Presidential Suite