Their first live show was broadcast into space from Cape Canaveral, Florida in June 2010, making them the first band ever to perform live into space. They have since performed at various London and UK venues including XOYO and HMV Forum, and festivals including The Big Chill, Popaganda in Sweden, Bestival, Eurosonic Festival in the Netherlands, MIDEM in Cannes, as well as Paris, Dijon, Rouen, Amsterdam, and across Europe. In 2011 they performed at Coachella Valley Music and Arts Festival, Hay Festival and Melt! festival, amongst others. Monarchy played the Together Winter Music Festival in London at the Alexandra Palace on 26 November 2011.
After signing to Mercury Records in February 2010, Monarchy released their self-titled debut album on 9 August 2010. Their second album, Around the Sun, was released independently on 11 July 2011 by 100% Records, following their departure from Mercury Records.The Guardian stated that "[t]he lyrics are often arrant nonsense [...] but there are many pleasures here", giving it three out of five stars. The NME rated the album five out of ten, comparing Monarchy to Hurts, The Sound of Arrows and Steps.Popjustice placed Around the Sun at number fourteen on its list of the best albums of 2011.
Monarchy's single "Disintegration" was released digitally on 14 January 2013 and features Neo-Burlesque performer Dita Von Teese, who also appears on the track's accompanying music video. The duo released the single "Living Without You" on 28 April 2014. Their EP Almost Human, which is set to be released on 8 September 2014, premiered exclusively on Vibe's website on 15 August.