Here's an ideal itinerary for 8 days in North Turkey:

Day 1: Istanbul

Arrive in Istanbul and spend the day exploring the city's iconic landmarks, such as the Blue Mosque, Hagia Sophia, and Topkapi Palace. Take a stroll through the Grand Bazaar and indulge in some traditional Turkish cuisine.

Day 2: Istanbul

Take a boat tour along the Bosphorus Strait, which separates Europe and Asia. Visit the Spice Bazaar and the Basilica Cistern, and end the day with a relaxing Turkish bath.

Day 3: Cappadocia

Fly to Cappadocia and explore the unique landscape of fairy chimneys and underground cities. Take a hot air balloon ride at sunrise for a breathtaking view of the region.

Day 4: Cappadocia

Visit the Goreme Open Air Museum, which is home to some of the best-preserved rock-cut churches and frescoes in the region. Take a hike through the Red and Rose Valleys and enjoy the stunning scenery.

Day 5: Trabzon

Fly to Trabzon and visit the Sumela Monastery, which is perched on a cliff overlooking the Altindere Valley. Explore the Hagia Sophia Museum and the Ataturk Mansion, which was once the summer residence of the founder of modern Turkey.

Day 6: Rize

Drive to Rize and visit the Firtina Valley, which is known for its stunning waterfalls and lush greenery. Take a tea plantation tour and learn about the region's famous tea production.

Day 7: Amasya

Drive to Amasya and explore the city's Ottoman-era architecture and ancient tombs carved into the cliffs. Visit the Amasya Museum and the Hazeranlar Mansion, which is now a cultural center.

Day 8: Ankara

Drive to Ankara and visit the Museum of Anatolian Civilizations, which houses artifacts from the Hittite, Roman, and Byzantine periods. Explore the Ankara Citadel and the Ataturk Mausoleum, which is the final resting place of the founder of modern Turkey.

This itinerary offers a great mix of history, culture, and natural beauty, and will give you a taste of the diverse regions of North Turkey.