Icelandair
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This carrier has been offering free stopovers since the 1960s. Under the program, travelers stop in Iceland for up to seven days either at the beginning or the end of their trip to the 72 cities in North America and Europe that it serves for free. The airline has suggestions on what you can do in Iceland on one- to five-day stopovers.
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Qatar Airways
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This Doha-based carrier has made it easy for travelers to visit on their way to or from a trip to the 150 destinations it serves. After booking a flight, passengers can get a transit visa and a free stay at four- or five-star hotels, courtesy of the Qatar Tourism Authority. The program has three levels: Qatar Ultimate, which offers a two-night stay in a four-star or five-star hotel for a $50 per room booking fee; Qatar Luxury, where the airline’s First and Business Class passengers get a free night’s stay from a selection of luxurious five-star hotels; and Qatar Premium, where coach class passengers get a free overnight stay at a four-star hotel. The airline also offers a page of suggested things to do in Doha, including a visit to the Souq Waqif, take an evening dinner cruise, or do a desert safari.