(Disclaimer: some of these are just my very best guess, based on the information I have been able to gather! Also some episodes appear to have been shown in a different order depending on the broadcast region in the UK.)
Series 1
Episode 1
UK air date: 7 February 1990
Guests: Michel Lauziere, The Clark Brothers, Basia
Peter Piper (Graham Heywood) as: Basil Fawlty
Scorch raps abut himself, sock routine
Episode 2
UK air date: 14 February 1990
Guests: Tricia and Bert, Adolf and Roby Gasser, Big Town Playboys
Peter Piper as: James Bond
Scorch didn't get any mail for Valentine's Day, Buffalo Billy (Ronn blows up balloon)
Episode 3
UK air date: 21 February 1990
Guests: Nathalie Enterline, Courtney Pine, Paul Zenon
Peter Piper as: Robocop
Scorch gets a letter from Hollywood, Romeo and Juliet puppet show
Episode 4
UK air date: 28 February 1990
Guests: Los Fassmont, Liza Minelli, Lorene Yarnell
Peter Piper as: not known
Scorch tricks Ronn into letting him rap
Episode 5
UK air date: 7 March 1990
Guests: Larry Cisewski, Arloe Barlow, Mark Robertson, Will Downing
Peter Piper as: not known
Scorch 'encourages' Ronn to exercise
Episode 6
UK air date: 14 March 1990
Guests: Hans Moretti, Jay Marshall, Christopher, Shakin Stevens
Peter Piper as: not known
Scorch thinks he is biologically female
Series 2
Episode 1
UK air date: 2 May 1990
Guests: Mouvance, Joan Rosaire and Goldy the Wonder Horse, Kenny G, Vince Bruce
Peter Piper as: Clint Eastwood
Cowboy night
Episode 2
UK air date: 9 May 1990
Guests: Air Jazz, Jason Donovan
Peter Piper as: not known
Scorch is failing math, Tillie helps when Ronn is asked to do the glass of water trick
Episode 3
UK air date: 16 May 1990
Guests: Tim Coldwell, Elaine Paige, Alfredo
Peter Piper as: Punch
Billy takes up ventriloquism
Episode 4
UK air date: 23 May 1990
Guests: Dan Menendez, Kaoma, The Simmons Brothers
Peter Piper as: Humphrey Bogart
Ronn does his stand up comedy routine
Episode 5
UK air date: 30 May 1990
Guests: Adam Ant
Peter Piper as: Frankenstein
Buffalo Billy's lawyer
Episode 6
UK air date: 6 June 1990
Guests: Pep Bou, David Grant, Bob Hartman
Peter Piper as: not known
Series 3
Episode 1
UK air date: 7 January 1991
Guests: Daniel Rosen, Whitney Houston, The Chen Brothers
Peter Piper as: not known
Episode 2
UK air date: 14 January 1991
Guests: Mat Plendl, Wee Papa Girl Rappers, Tina Lenert
Peter Piper as: not known
Ronn and Billy walk the high wire
Episode 3
UK air date: 21 January 1991
Guests: Koma Zuru, Bananarama, Dolly Jacobs
Peter Piper as: a Teenage Mutant Hero Turtle
Scorch gets an earring, Ronn presents a new invention: the Freeze Dried Dummy
Episode 4
UK air date: 28 January 1991
Guests: Rogana, Kim Appleby, Michael Moschen
Peter Piper as: Robocop
Scorch wants it to be 'The Ronn Lucas and Scorch Show', 'Dame' Tillie sings
Episode 5
UK air date: 4 February 1991
Guests: Fausto Scorpions,Tanita Tikaram, The Zodiac Brothers
Peter Piper as: not known
Scorch turns up wearing underwear, Clowns mask routine
Episode 6
UK air date: 11 February 1991
Guests: Michael Moschen, Cast of 'Buddy', George Carl
Peter Piper as: not known
Scorch is running for Parliament, Scorch gets a new outfit (Teenager in Love)