Shaquille is the third foal and first winner out of the unraced Magic (Galileo). She is a full-sister to Birch Grove, a Listed winner in France, and a half-sister to the unraced dam of Mademoiselle (Black Tide), a Listed winner in Japan, and of Saimon Seele (Kinshasa No Kiseki), who was Group 3-placed.

Second dam Danehurst (Danehill) was a top-class sprinter with eight black-type wins, among them the Flying Five, then a Group 2, the Gr.3 Premio Umbria, the Gr.3 Prix de Seine-et-Oise and the Gr.3 Cornwallis Stakes. Champion older mare in Ireland and Italy in 2002, she was also second in the Gr.1 Golden Jubilee Stakes and third in the Gr.1 July Cup that year. Another of her foals by Galileo is the Listed winner Birch Grove. Danehurst is a half-sister to Humouresque (Pivotal), winner of the Gr.3 Prix Penelope and dam of the Listed-placed Crotchet and Piano, to Rising Legend (Rock Of Gibraltar), a stakes winner in the US, Group 3-placed and a sire, and to Mighty (Pivotal), placed in the Gr.2 Jockey Club Stakes and the Gr.2 Hardwicke Stakes.

Third dam Miswaki Belle (Miswaki) was placed. Her other foals include two unraced mares: Pivotal Era (Pivotal), dam of Cosmic Vega, winner of the Listed Owenstown Stud Stakes and placed in the Gr.3 Gladness Stakes, and of The X O (Zoffany), second in the Gr.3 Commonwealth Cup Trial Stakes in 2023; and Polish Belle (Polish Precedent), dam of Jairzihno, Grade 2-placed in the US, and the dual Listed-placed Misty Conquest. Miswaki Belle is a half-sister to Dazzle (Gone West), winner of the Gr.2 Cherry Hinton Stakes and third in the Gr.1 1000 Guineas.

The family also includes Hooray (Invincible Spirit), the champion juvenile filly in Europe and winner of the Gr.1 Cheveley Park Stakes, the Gr.2 Lowther Stakes and the Gr.3 Sirenia Stakes.

Magic has a yearling colt by Cable Bay and a colt foal by Iffraaj.