Sure, here are some fun activities that a couple could do on a 5-day vacation in Rome, ordered from cheapest to priciest:

1. Visit the Vatican Museums, Sistine Chapel and St. Peter's Basilica: These are some of the most famous and awe-inspiring sights in Rome, and offer a great opportunity to admire the art and architecture of the city.

2. Explore the Colosseum and the Roman Forum: These two iconic sites give you a glimpse into the ancient history of Rome and the Roman Empire.

3. Visit the Spanish Steps and the Trevi Fountain: These two popular landmarks are must-visits for anyone visiting Rome, and are great places to people-watch, relax, and enjoy the atmosphere of the city.

4. Take a guided food tour: Rome is famous for its cuisine, and there are many guided food tours available that will introduce you to some of the city's best local dishes, many of which can be adapted to a vegan diet.

5. Enjoy a romantic dinner in Trastevere: Trastevere is a charming neighborhood known for its narrow cobblestone streets, lively atmosphere, and great food. Enjoy a romantic dinner in one of the many restaurants here for a memorable experience.

6. Take a cooking class: If you're interested in learning about the local cuisine, taking a cooking class can be a fun and interactive way to do so. Many classes are available that cater to a vegan diet.

7. Go on a wine tasting tour: Rome is surrounded by some of Italy's best vineyards, and there are many wine tasting tours available that will take you to taste the local wines and learn about the winemaking process.

8.Take a scenic helicopter tour: For a unique and breathtaking perspective of Rome, consider taking a scenic helicopter tour. This is a more expensive option but offers an unforgettable experience.
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