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Cirque du Soleil has had a few missteps in tour itineraries and miscellaneous projects (such as entertainment for the Celebrity Cruises line) that went over poorly, but for the live shows that serve as the company's backbone, the company generally works hard to improve troubled productions and refine good ones, so even a rocky start can pay off later. But in doing more and more shows, trying to put new twists on their usual fare, and expanding into new markets that may or may not be welcoming, they hit a Dork Age in The New Tens, resulting in a purge of shows and triple-digit company layoffs over 2012-13 to set things to rights.
ZAIA (2008) was an attempt at a permanent show in China, specifically gambling mecca Macau. The show was panned by Cirque fans as old hat, gamblers weren't interested in seeing a show (unlike in Las Vegas, where Cirque has several popular shows), and it was competing with the country's many native circuses; it closed in 2012. ZED, by comparison, was hailed by critics and fans when it opened at Tokyo Disneyland less than two months later...but bad luck, namely the tourism slowdown following the Tohoku earthquake in 2011, also doomed it to closure in 2012.
Criss Angel Believe (2008) was a magic show collaboration with the illusionist. With high expectations as their sixth resident show in Las Vegas (facing locals fatigued with their omnipresence), their first magic show, and their first show built around a specific performer, it opened to almost universally negative critical reviews and even nastier audience response. It's still running and professional reviews have improved, but that was due mostly to the bulk of Cirque-typical elements being dropped in a Retool.
Banana Shpeel (2010) was a vaudeville-inspired variation on the company's house style (with much more time given to comedy acts than the norm) and their first show for "legit" theaters, doing a tryout run in Chicago before hitting New York City in the spring of 2010. Heavy retooling in the wake of poor reviews for the tryout delayed the NYC opening by three months... which meant that it opened after their traditional tent tour OVO arrived in the city for a two-month run, instead of before. While reviews were better in New York, they weren't as good as OVO's, and Banana Shpeel wound up closing two months sooner than planned. A New York Times article detailing what went wrong is here. A North American tour was planned even after the closure in New York, but scuppered after its opening engagement in Toronto flopped.
Viva Elvis (2010) was a Las Vegas-based Jukebox Musical / circus hybrid based on the music of Elvis Presley. But while The Beatles LOVE proved this concept could work for Cirque, Presley's more down-to-Earth music and world wasn't as good a fit for them. According to Variety, it never sold more than 60% of its seats for any given performance, and thus closed in less than two years — the first Vegas Cirque show to close outright.
IRIS (2011) attempted to establish a permanent show in Los Angeles with its history-of-filmmaking theme. Reviews were good, but locals didn't bite and it couldn't attract out-of-towners. It closed in 2013.