Here's an ideal itinerary for 2 days in Copenhagen:

Day 1:

• Start your day with a visit to the iconic Little Mermaid statue, located at Langelinie Pier. Take a stroll along the pier and enjoy the beautiful views of the harbor.
• Next, head to the colorful Nyhavn district, where you can take a boat tour of the city's canals or simply enjoy a cup of coffee at one of the many cafes lining the waterfront.
• From there, make your way to the Amalienborg Palace, the official residence of the Danish royal family. Be sure to catch the changing of the guard ceremony, which takes place daily at noon.
• For lunch, head to Torvehallerne, a bustling food market offering a wide variety of local and international cuisine.
• In the afternoon, explore the trendy neighborhood of Nørrebro, known for its vibrant street art, independent boutiques, and multicultural food scene. Don't miss the Assistens Cemetery, where famous Danes such as Hans Christian Andersen are buried.
• End your day with a visit to Tivoli Gardens, one of the oldest amusement parks in the world. Enjoy the rides, games, and nightly fireworks display.

Day 2:

• Start your day with a visit to the stunning Rosenborg Castle, home to the Danish crown jewels and a beautiful park perfect for a morning stroll.
• Next, head to the National Museum of Denmark, where you can learn about the country's rich history and culture.
• For lunch, try some traditional Danish smørrebrød (open-faced sandwiches) at Aamanns Deli & Takeaway.
• In the afternoon, visit the Christiansborg Palace, home to the Danish parliament and the tallest tower in Copenhagen, offering panoramic views of the city.
• For dinner, head to the Meatpacking District, a former industrial area now transformed into a trendy food and nightlife destination. Try some of the city's best street food at Kødbyens Mad & Marked.
• End your day with a visit to the iconic Round Tower, offering stunning views of the city skyline at sunset.

Hope you enjoy your time in Copenhagen!