Dalek Attack (Alternative Software, 1992).
Dalek Attack, released in 1992, wasn’t really a Doctor Who game. It was, however, good fun. You played as multiple Doctors. It was filled with all sorts of Dalek references. You could even battle a prototype ‘future’ Dalek that Dalek designer Raymond Cusick had created for Doctor Who Magazine. But it wasn’t a true Doctor Who game, because it involved the Doctor running around and shooting.
“Gamers either want to drive fast, kick a ball or shoot things,” Dalek Attack developer David Vout told DWM in 2016. “So it was a real issue having the Doctor, who basically puzzles their way out of things.”