The Buggles' two albums were
Living In The Plastic Age (
1979) and
Adventures In Modern Recording (
1982). You'll note this sandwiches their participation in
Yes (for
1980's
Drama).
Trevor Horn is still a sought-after producer, but I don't know who else other than Seal he's been producing lately. I don't think he's made his own music since the last Buggles album.
Geoff Downes, after the Buggles and before The New Dance Orchestra, hit the ground with Asia, with his former Yes bandmate Steve Howe (and progressive rock giants Carl Palmer and John Wetton,) for the albums Asia (1982), Alpha (1983) and Astra (1986). He also produced Howe's band's GTR album.
It's indeed odd how these New Wavers ended up mixed up with the aging prog rockers.