What should I look for in a used Honda Jazz hatchback?
You'll struggle to find a Jazz with any kind of problem, never mind a serious one.
Check the suspension, though, judging from comments made by owners in the JD Power customer satisfaction survey. Watch, too, for it pulling to the left as a result of being kerbed.
Cars that have spent most of their time in town - an ideal environment for the Jazz - tend to pick up dings and scratches, so inspect the bodywork, wheels and tyres closely. Ensure the door mirrors are undamaged and adjust properly - they're expensive to fix.
City life can also cause the Jazz's exhaust gas recirculation (EGR) valve to get stuck, which can lead to jerky, inconsistent engine response (the EGR takes exhaust gas back to the engine intake system to help improve efficiency). Avoid any that behave like this.
Other than that, a full service history adds reassurance and value to the car when you come to resell it.