The distinctive mugs with semi-circular handles were made by Gabbianelli, an Italian ceramics company founded in 1939, which employed many prominent designers in the 1960s and 1970s (wikipedia). Thanks to Roberto Casagrande. They also produced a vase seen in living quarters.
The distinctive orange mugs first appeared in Breakaway. In Matter Of Life And Death we see a set in white. Another white cup appears in Koenig's quarters in The Infernal Machine, and another on the Ultra Probe in Dragon's Domain. They are on the bedside table in Force Of Life. Kate Bullen takes round a tray of cups in Death's Other Dominion. There are orange cups on the Eagle in The Testament Of Arkadia. They're back in Year 2 in One Moment Of Humanity, The Mark Of Archanon, A Matter Of Balance, The Seance Spectre and the final scene of the series, in The Dorcons
These white mugs with green or red bases appeared in Black Sun. Operative June drops a tray of 6 of them in Missing Link. They also appear in Collision Course and The Testament Of Arkadia, and in Year 2 in Seed Of Destruction and The Immunity Syndrome (one seems to have lost the colour band)
A glass coffee cup with a white plastic base in Force Of Life
Plain white mugs on the Eagles in The Last Sunset and The Full Circle.
Brown vending machine cups appear in The Metamorph and Journey To Where
A mixture of cups in The Taybor
Copyright Martin Willey