If it is an aftermarket ignition (MSD etc) that you wired in yourself, check and make sure the ground to the chasis is clean and tight. Even scrape some paint under the connector to be sure.
Going back to the TFI angle. I've had new out of the box TFI modules that would not fire my car.
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89 LX Coupe
93 LX Coupe (Bone Stock)
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