2011年8月29日，亞歷山德拉的首張專輯《Saxobeats》正式上市，專輯中包含八首單曲及五首混音曲目。專輯先後在法國、德國、瑞士、羅馬尼亞、西班牙、波蘭及義大利幾個國家推出；及後在10月25日經Ultra Records在美國和加拿大推出；而英國方面還未推出。同年夏季，第四首與德國饒舌歌手Carlprit合作的單曲「1 Million」推出，直至2011年9月，該曲只有在法國電台播出了數次，而沒有進入任何歌曲排行榜。而「1 Million」的音樂MV拍攝工作在2011年12月9日開始。亞歷山德拉憑籍「薩克斯風先生」一曲獲得了數個銷售認證獎項：在澳洲、西班牙、丹麥和瑞典四個國家達到白金銷量，在義大利則達到多白金銷量。在2011年的「羅馬尼亞音樂大獎」，她得到了兩項「薩克斯風先生」的提名：「最佳舞蹈」和「最佳歌曲」（獲獎）；自己亦被提名「最佳女性」以及獲得「國界突破獎」（Borderbreaker Award）。在同年的MTV歐洲音樂大獎，亞歷山德拉分別提名「最佳歐洲藝人」和贏取了「最佳羅馬尼亞藝人」。
In June 2015, Stan released "We Wanna", a collaboration with Romanian singer Inna and American reggaeton performer Daddy Yankee. The track reached the top 60 in multiple countries including Romania, Argentina and Italy. It was certified Gold in the latter region. In addition to her music career, Stan was involved with ecological and humanitarian causes at Expo 2016 in Antalya, Turkey, where she planted a tree that she named after herself. She also won a trophy at the Celebrity Awards along with other accomplished Romanian women, and earned a nomination for Best Pop Artist at the Elle Style Awards România, as she would also do in 2016. In November 2015, she released the single "I Did It, Mama!", which reached the top ten in Romania. The singer's third studio album Alesta followed in March 2016, and was supported by a tour of Japan. It debuted at number 34 on the Japanese Albums Chart. Later that year, Stan made her fashion debut with a range of clothing called Alesta X Bershka, which was available in Japan.
Also in 2016, the singer joined the supergroup G Girls along with Antonia, Inna and Lori, and premiered the single "Call the Police", which was successful in Poland. To promote the launch of Virgin Radio Romania in early 2017, Stan recorded a cover version of Madonna's song "Like a Virgin" (1984), saying she was a fan of it. She also recorded "Favorite Game" for the soundtrack of the Japanese movie Miko Girl; it served as its opening song. The film premiered during the 30th Tokyo International Film Festival in October 2017, where Stan appeared on the red carpet with its cast and crew. In April 2018, Stan released her fourth studio album, which is titled Mami, and peaked at number 119 in Japan. She also contributed guest vocals on Manuel Riva's track "Miami", which reached the top ten on the US Dance Club Songs chart; this was Stan's first appearance on an American Billboard ranking since 2011's "Mr. Saxobeat". It also reached the top 10 in Romania. The singer opened the 2018 Neversea Festival, which had selected "Miami" as its anthem. At the 2018 Beirut International Awards Festival, Stan was awarded a special prize for her career.