What should I look for in a used Mitsubishi Space Star hatchback?
Watch out for gaps in the vehicle's service history. If there's one thing pricey maintenance always leads to it's people neglecting to follow the manufacturer's schedule properly.
Ask the seller whether the airbags have been checked before you buy a pre-2000 car; there was a known fault with one of the sensors, which could lead to the 'bag not deploying in the event of a smash. Have a good listen to the engine while it is running at high revs, too. These Mitsubishi units can sound coarse if they've been worked too hard and a rough one could mean that the car has been thrashed.
Beyond that, there's really not much to worry about. The engines and transmission are all proven, and shouldn't give much bother if they've been cared for properly.