How do you stand out in a city filled with stylish boutique hotels? Try a rooftop pool, a cognac bar, 24-hour butler service, and a lobby with a two-story waterfall. Set in a landmark 1912 French-style town house in the chic Recoleta district, the new Algodon Mansion has just 10 suites, making it feel more like a well-heeled Argentine’s private residence. Its owners—who are also behind the Mendoza-based Algodon Wine Estates—spared no expense, installing grand pianos in several guest rooms, Italian calacatta marble bathrooms, and ebony wood floors. At the restaurant, Chez Nous, with its fireplace and gold-leafed ceiling, chef Antonio Soriano serves a seasonal menu of dishes such as grass-fed lamb chops with Andean potatoes or Patagonian black sea bass with black-olive gnocchi. And, of course, don’t miss Algodon’s extensive wine list. We loved the vanilla-inflected Bonarda and the oaky Malbec, the perfect warm-up to a twilight tango. Doubles from $800.