Visit breweries and sample more of the region's alcoholic produce in the towns of Diekirch and Wiltz.
In the medieval market town of Clervaux, visit the 12th-century castle - now home to government offices, the tourist office, a small war museum on the 1944-1945 Ardennes offensive (the famous 'Battle of the Bulge'), and a renowned collection of documentary art photography, the Family of Man, by Edward Steichen.
Further east, in the town of Echternach, see a colourful religious dancing procession, which takes place annually on Whit Tuesday, attracting pilgrims from the world over.
The town's seventh century Benedectine Abbey (now housing a museum) and the St Willibrord Basilica are well worth visiting, as is the distinctive 15th-century Town Hall.
Galleries and museums
Get cultural in the capital's numerous galleries and museums. Highlights include the National Museum of Natural History, the National Museum of History and Art and the Museum of the City of Luxembourg.
Wine and dine al fresco in Luxembourg-Ville's charming main square, the Place d'Armes. The area known as the Grund, near the River Alzette, also has many lively cafes and restaurants; it can be reached via a lift down through the ancient rock.
Luxembourg-Ville old town
Discover the delightful old centre of the capital, Luxembourg-Ville. See the fortress towers, turrets and winding, cobblestone streets.
Visit the underground tunnels, known as casemates, and hop on the special open-air tourist train through the Petrusse Valley.
See the changing of the guard at the Palais Grand Ducal, the Grand Duke's official residence. Other attractions in Luxembourg-Ville include the Place Guillaume (also called Knuedler) and its twice-weekly market (Wednesday and Saturday); and the 17th-century Notre Dame Cathedral.
Tramp around the Müllerthal region, Luxembourg's 'Little Switzerland'. Dense forests, crystal-clear brooks and spectacular rock formations combine to make this one of the country's most popular areas for walking and hiking. The main resorts are Beaufort and Larochette, both of which have hilltop castles.
Plâteau du Kirchberg
Alternatively, head for the modern district on the Plâteau du Kirchberg (reached via the Pont Grand Duchesse Charlotte - the capital's most impressive bridge); it's home to a thriving international finance centre, many European institutions and Luxembourg's biggest cinema complex and shopping mall.
Harness up and go rock climbing; there are some good ascents and facilities available near Berdorf in the Müllerthal region.
See Luxembourg's striking sandstone rock formations, particularly in the northeast's Müllerthal.
Visit the small village of Schengen, where the Moselle marks the meeting of three countries (Luxembourg, France and Germany), which has become internationally known after the 'Schengen Agreement' was signed here in 1995.
Thermal health treatments
Pamper yourself with thermal health treatments, and enjoy the sports and leisure facilities in the spa town of Mondorf-les-Bains.
Upper Sûre National Park
Splash out on some watersports: located within the Upper Sûre National Park (an area of outstanding beauty) is the country's drinking water reservoir, where a barrage dam (the Staudamm) makes a beautiful lake.
In Vianden, be impressed by a magnificent castle, built between the 11th and 14th centuries. The castle overlooks the town from a 450m (1,476ft) elevation that can be reached by a chairlift. Vianden also has a wild boar sanctuary, and another castle can be visited at Bourscheid nearby.
Indulge yourself in a wine-tasting tour in the southeast. The River Moselle flows through Luxembourg's main wine-producing region (referred to as 'the Moselle' or d'Musel). Boat-cruises on the river are also available.