Here's an ideal itinerary for 3 days in Turin:

Day 1:

• Start your day with a visit to the iconic Mole Antonelliana, which is the tallest museum in the world. You can take the elevator to the top for a stunning view of the city.
• After that, head to the nearby Piazza Vittorio Veneto, which is the largest square in Turin. Here, you can enjoy a leisurely stroll and take in the beautiful architecture.
• For lunch, head to Eataly, which is a food market that offers a wide range of Italian delicacies. You can grab a quick bite or sit down for a full meal.
• In the afternoon, visit the Royal Palace of Turin, which is a UNESCO World Heritage Site. The palace is home to several museums, including the Royal Armory and the Royal Library.
• End your day with a visit to the Turin Cathedral, which is home to the famous Shroud of Turin.

Day 2:

• Start your day with a visit to the Egyptian Museum of Turin, which is one of the largest collections of Egyptian artifacts in the world.
• After that, head to the Piazza Castello, which is the heart of Turin. Here, you can visit the Palazzo Madama, which is a beautiful baroque palace that now houses a museum.
• For lunch, head to the Quadrilatero Romano, which is a historic market that offers a wide range of local delicacies.
• In the afternoon, visit the National Museum of Cinema, which is located inside the Mole Antonelliana. The museum offers a fascinating journey through the history of cinema.
• End your day with a visit to the Basilica di Superga, which is located on a hill overlooking the city. The basilica offers a stunning view of Turin and the surrounding area.

Day 3:

• Start your day with a visit to the Parco del Valentino, which is a beautiful park that offers a wide range of activities, including walking, cycling, and boating.
• After that, head to the Borgo Medievale, which is a medieval village that was built in the early 20th century. The village offers a fascinating glimpse into the history of Turin.
• For lunch, head to the San Salvario neighborhood, which is known for its vibrant street art and multicultural cuisine.
• In the afternoon, visit the GAM - Galleria Civica d'Arte Moderna e Contemporanea, which is a museum that showcases modern and contemporary art.
• End your day with a visit to the Turin Eye, which is a giant Ferris wheel that offers a stunning view of the city.