In 1982, during ABBA's last year as a working band, Frida recorded and released her first post-ABBA solo album. This was also her first solo album in English. The Phil Collins-produced album called Something's Going On became a big success for Frida worldwide. A much rockier sound was found on many of the songs and Phil Collins' drum sound had a major contribution, particularly on the lead single, "I Know There's Something Going On", which topped the charts in Belgium and Switzerland, and was a top 5 hit in Australia, Austria, France, Germany, the Netherlands, Norway, South Africa and Sweden amongst others. With the song and video being heavily promoted and played on MTV, the single also proved successful in the United States, reaching No. 13 on the Billboard Hot 100 (and No. 9 on Radio & Records) in March 1983, and was the 20th biggest selling single in the US that year. In the UK, the track was not a successful hit, only reaching No. 43.
In 1982, Lyngstad left Sweden and moved to London. In 1986 she relocated to Switzerland, and lived with her boyfriend, architect Prince Heinrich Ruzzo of Reuss, Count of Plauen (1950–1999), in his family castle in Fribourg.
In 1982, Lyngstad won the Swedish music prize Rockbjörnen for Best Female Artist. She was inducted in the Rock and Roll Hall of Fame as a member of ABBA in 2010, and she represented the group in their acceptance speech, along with Benny Andersson. In 2014, she was awarded with the Eskilstuna Music Prize for her "pioneering career" and significant contribution to popular music as an "icon" who had "left an indelible imprint in musical history".