Bordered by the Black Sea, the port city of Batumi is Georgia’s premier holiday destination. A mix of modern and Belle Époque-era hotels spill out from the city’s waterfront promenade, while old town spires and contemporary towers dot the skyline.

The coastal village of Kamari features the beaches and ruins that are typical of Greek islands, but also boasts unusual attractions like an open-air cinema. Stray from the black pebble shores and head up to the site of Ancient Thira, where the stone remains of houses, markets, baths and temples will impress you with their size and structure. Sip local vintages at the Gaia Winery, then relax at an outdoor café as you watch the sun sleepily drop below the horizon, washing the sky with warm Aegean light.

The Latvian capital, the largest city in the Baltics, is a fascinating mixture of proud Latvian tradition and influences of the various countries that have occupied it. Independent once again since 1991, Riga's Art Nouveau center has won it UNESCO World Heritage Site designation. Opened up to mass tourism with the advent of budget air travel, Riga's Old City and its abundance of bars and restaurants can be explored on foot. The New Town is easily reached by an efficient and modern bus and tram network.

The prophet Mohammed's birthplace is Islam's spiritual center and is strictly off-limits to non-Muslims. The pillars of Islam state that all Muslims with the means must undertake Hajj, a pilgrimage to Mecca, once in their lifetime. Those who visit the holy city are rewarded not just by proximity to landmarks and religious sites crucial to the religion, such as the Masjid Al Haram (Holy Mosque), the Mountain of Light, the Black Stone and the Well of Zamzam, but with the forgiveness of all their sins.

Known as Padova in Italian, Padua may be the oldest city in northern Italy, if you believe the claims of its 12th-century BC founding by Trojans. It certainly has history, including its famous university (one of Europe’s oldest, from 1222), the 13th-century Basilica di Sant'Antonio (resting place of St. Anthony), and Scrovegni Chapel, with Giotto’s famed 14th century frescos. The magnificent Prato della Valle, a 950,000-square-foot elliptical square, is thought to be Europe’s second-biggest.

The majestic Austrian Alps stretch across the country, an awe-striking area of Ice Age valleys, verdant heaths and alluvial cones within Europe's largest national park, 700-square-mile Hohe Tauern. Taking in the dramatic cities of Salzburg and Innsbruck and the beautiful province of Tirol, home to spectacular skiing and hiking, as well as Gross Glockner, Austria's highest peak, and some of the world's best winter and summer sports playgrounds, the Austrian Alps are an outdoor lover's paradise.

Varenna is a slow-paced destination—most visitors come here to relax by the lake. But even if "Working on my tan" is the #1 thing on your itinerary, take some time to explore the area. There’s the Castello di Vizio, a medieval fortress surrounded by an olive grove. And you’ll want to view the old, tiered gardens at the Villa Cipressi—they stretch all the way down to the water. Finally, visit the source of the Fiumelatte, a peculiar river—it’s only 250 m long and disappears from October to March.

Unassuming Brussels is the capital of Belgium, Flanders and Europe. Medieval Grand-Place is indeed grand, with many 17th-century buildings and daily flower markets. Reopened in 2006, the Atomium, Brussels' Eiffel Tower, provides great views, both inside and out. Architecture fans should visit the Musée Horta, home of Belgian master architect Victor Horta. St Gery's clubs and bars are packed all year round. Seafood eateries abound in Ste Catherine. Exploring the narrow streets on foot is more fun than getting snarled up in traffic.

Encircled by medieval walls, Canterbury is doused in history. In the Middle Ages, Canterbury’s pilgrimage-site status made it the setting of Chaucer’s seminal "Canterbury Tales," while today, cobbled streets and the 6th-century Canterbury Cathedral secure this city as one of England’s must-visit destinations.

In the "city of dreaming spires", academia takes centre stage. Gaze out at Oxford's world-famous colleges from the top of St Mary's Church tower before heading into the city's pedestrian-friendly streets. The University's Botanic Garden and Ashmolean Museum are Britain's oldest. Follow your nose to the Covered Market for the makings of a picnic to enjoy on a punt or in the University Parks. Mix the historic and modern with visits to the 12th- century village church of Iffley and trendy Cowley's ethnic shops and music venues.