Yup. They had them on Games World, hosted by Bob Mills on Sky One in the mid-90s (which also featured Jet from Gladiators as the games mistress).
Kinda related, on a touch tone tip, there were, briefly, some live interactive games on (I think, Sky) Teletext. Very basic, obviously. Like noughts and crosses, or something on that level and I remember watching the games take place as other people played. Pre-internet, watching Teletext respond to phone commands was kinda impressive. Simple pleasures.