What should I look for in a used Lotus Exige coupe?
Because this is essentially a track car that's road-legal, look for evidence of any history on the circuit. Ask the seller about what it has been used for, and about any damage or repairs. Take a good look at the service history, too. The brake discs need changing every 10,000 miles, the clutch soon after and the suspension needs to be regularly overhauled.
On early cars, fuel can leak from the petrol tank during cornering, and the catalytic converter can overheat after a misfire. There was also an issue with brakepipe chafing, and the possibility of the gearstick snapping off if you're too aggressive with your changes.
On a personal level, take time to check out the seating position. The steering rack doesn't adjust so make sure you can get comfortable and your knees are out of the way.