Looking for A 2005-2008 Corolla - What Are The Typical Problems With This Gen?

#1
What are the common problems with this generation Corolla? We're in the market for one and I wanted to know of some typical problems this gen has so I can pay extra attention to them when looking around.
 
#2
They are generally pretty solid. The 1ZZ is a tried-and-true engine, both the 4-speed auto and 5-speed manual are fine. Brakes aren't a fan of hard stops, but that is the only issue I have noticed.
 
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