Warping cylinder heads, blown head gaskets, leaks and a slipping automatic transmission can be found in abundance with the EF. They say engines and transmissions need rebuilding around the 200-250k mark but you hear of ex taxis going around the clock. So when it actually needs it seems to depend on the car itself.
Blown head gasket
Automatic transmission issues
Leaking coolant
Ignition coil issues
Leaking a/c condensers
Oil leaks
Check for improper LPG conversions
Noisy suspension components
Body panel squeaks and irregularities