Big Fun were yet another Stock, Aitken and Waterman-produced act who had a few UK hits in 1989 and 1990. Sound-wise, they were pretty generic, fitting the 1980s eurodisco/pop mould that S/A/W had grown famous for; image-wise, they were just as bland.
Their hits included
and they had an album
Along with other bland S/A/W proteges (such as 'Yell!'), little was heard from them after their 15 minutes of fame; indeed, the S/A/W 'Hit Factory' was itself soon to see the end of its long reign of commercial success.
I assume these guys had nothing to do with the fictional band from Heathers; please /msg me if you know otherwise.