Here's a game that comes from the Spectrum's cobweb-strewn past. Death Chase was an early Digital Integration game and appeared way back in 1983. It's got primitive graphics, but still managed to get the adrenalin pumping!
You race a hoverbike through a forest and have to chase after and blow up two renegade bikers who ride similar vehicles to your own. And... that's it. It's simple, but the going is fast and furious, with the trees getting increasingly dense, and later levels shifting between night and day scenes.
Limited, but still highly addictive and exhilarating.
It was a classic in its time, and the simple and addictive game still holds up today. Definitely worth the dosh.