“What are the most common problems with the 1988 Corvette’s C4 transmission?”
The ‘88 Corvette came with two very different transmissions, and each has its own “personality quirks.”
If it’s an automatic (700-R4):
If it’s the Doug Nash 4+3 manual:
Good news: both boxes are well supported by the aftermarket, and a lot of the fixes are weekend projects if you plan ahead. Want me to dig up some parts sources or find you a low-mileage example that’s already had the work done?