From modern skyscrapers and neon lights to Buddhist temples, palaces and pagodas, Seoul is a fascinating mix of old and new. A hub of business, culture and finance both within South Korea and internationally, Seoul houses the headquarters for some of the world's largest corporations. It also has one of the world's best subway systems – the easiest way to get around in this densely populated area. For the best view of the city, go to the tower on Namsan, one of the mountains that encircle the city.

Tradition collides with pop culture in Tokyo, where you can reverently wander ancient temples before rocking out at a karaoke bar. Wake up before the sun to catch the lively fish auction at the Toyosu Market, then refresh with a walk beneath the cherry blossom trees that line the Sumida River. Spend some time in the beautiful East Gardens of the Imperial Palace, then brush up on your Japanese history at the Edo-Tokyo Museum. Don’t forget to eat as much sushi, udon noodles, and wagashi (Japanese sweets) as your belly can handle.

Actually more white than silver, lovely Silver Sands Beach is just south of Malindi town, and home to several luxury hotels. Snorkelling, diving, surfing and deep sea fishing (for marlin, shark and sailfish) are popular here. Further south lies Watamu Beach, part of Kenya's Watamu Marine National Park.

Gaze out at the azure Adriatic Sea from the sunny beaches of Otranto, in Italy's Puglia region. This historic port town attracts locals and tourists to its 10km of beaches and diving rocks. In town, the cathedral features large-scale mosaics dating back to the 12th century. If you love snorkeling and beautiful seaside views, it's worth making the short journey south to Porto Badisco.

Founded by the Romans in 179 AD as Casta Regina (meaning Fortress by the River Regen), Regensburg is one of Germany's oldest towns. It was relatively spared from Allied bombings during World War II. Today, many flock to see the wonderfully intact old city and its many medieval structures. The 12th-century Stone Bridge was used by Crusaders en route to the Holy Land. The Regensburg Cathedral (or Dom St. Peter) is one of southern Germany's finest examples of Gothic architecture.

It’s nicknamed the Eternal City for a reason. In Rome, you can drink from a street fountain fed by an ancient aqueduct. Or see the same profile on a statue in the Capitoline Museum and the guy making your cappuccino. (Which, of course, you know never to order after 11 am.) Rome is also a city of contrasts—what other place on earth could be home to both the Vatican and La Dolce Vita?

Trier, which lies in the Moselle wine region along the banks of the Moselle River, is the oldest city in Germany. The city is home to the University of Trier.