Answer by taking a quote from the following article:

Spitting Image is a British satirical puppet show, created by Peter Fluck, Roger Law and Martin Lambie-Nairn. The series was produced by 'Spitting Image Productions' for Central Independent Television over 18 series which aired on the ITV network. The series was nominated and won numerous awards during its run including 10 BAFTA Television Awards, including one for editing in 1989 and two Emmy Awards in 1985 and 1986 in the Popular Arts Category. The series featured puppet caricatures of celebrities prominent during the 1980s and 1990s, including British Prime Ministers Margaret Thatcher and John Major and other politicians, US president Ronald Reagan, and the British Royal Family; the series was the first to caricature Queen Elizabeth

The programme was first released on video in 1986 in a series of three collections, each a compilation of material from the first two series: Spit - With Polish!, A Floppy Mass Of Blubber & Rubber Thingies. All carried a 15 certificate and were reissued in 1988, also as a box set. 1989 saw the release by Central Video of two complete specials, Bumbledown: The Life & Times Of Ronald Reagan and The Sound Of Maggie. Next was a video containing a collection of the music videos from the programme, titled "The Klassik Music Video Vol 1", released in 1991 by Central Video under The Video Collection Ltd (VCI or 2entertain); there was never a Volume 2. "Is Nothing Sacred?" was released in 1992 by Surprise Video, compiling material from 1990-1991. The free booklet was written by Stewart Lee and Richard Herring. Havin' It Off: The Bonker's Guide was released in 1993. In 1996 FA to Fairplay was released on VHS, later reissued on DVD in 2005. Made specially for video, it provided an alternative look at the 1996 European football championship held in England. The Ronald Reagan song "Da Do Run Ron" featured in a straight to video release called Rockin' Ronnie (1986), an otherwise unrelated compilation of movie clips released by ATI Video. The first twelve series including An 11-disc set (containing the first 7 series broadcast 1984-89) have been released by Network Distributing under licence by ITV Studios, so far. Series 1-7 individual releases are now deleted . DVD releases do not include any of the specials made.

what video did they do?
The programme was first released on video in 1986 in a series of three collections,