After firing lead singer Limahl in 1983 and, following a split with Strode in 1985, the three remaining band members reformed as Kaja,[1] releasing the album Crazy Peoples Right to Speak and the single "Shouldn't Do That".

He continued working with various artists and bands, including Gary Numan, Alphaville, Belinda Carlisle, Emma Bunton (on her album Life in Mono) and Led Zeppelin's former bass player, John Paul Jones.

In an interview with Cherry Red TV in 2018, Beggs talked about the reunion, stating "we reformed and we toured and we recorded an EP and remastered the back catalogue...and at that point I felt that we had done it all.

In February 2013, Beggs's project Lifesigns, with John Young and Frosty Beedle, released a self-titled album.

Beggs also became a member of the Belgian prog band Fish on Friday, starting the collaboration with their third album named Godspeed at the end of 2014, marking the starting point of a series of successful albums, along a decade: Quiet Life (2017), Black Rain (2020), and the most recent creation, 8mm (2023).

He contributed to John Mitchell's solo project Lonely Robot, which released the album Please Come Home in February 2015.

In 2024, Beggs will temporarily replace bass player Peter Trewavas of Marillion, who is unavailable after a medical procedure.