I had a ZX Spectrum and my favourites were,
'Turbo Esprit' - You drove a black Lotus Esprit around one of 4 various British towns, looking for different coloured saloons, which were the bad guys, to either shoot or ram until they exploded. I had hours of fun playing that.
'Skool Daze' and 'Back 2 Skool' - You were a schoolboy called Eric, and you walked around your school causing all sorts of mischief and trying to get the other kids in trouble for it. Once you'd got 10,000 lines it was game over. The sequel expanded the school, and added a playground and a girl's school to wander round.