Are there problem areas on the 67-68 Barracudas

Everyone says check out that paint real, real good. So true..... BUT they never say buy one that needs all the body/paint and then pay someone $8000 for a perfect job and spend 2 years waiting on it to be done!! ha .... or do it all your self?
Whether its an old house or car, in my book a fresh coat of paint makes me suspicious.

The rust issues, which aren't particular to 67-9 Barracudas, the most difficult to repair will be the structural ones. The torsion bar anchors are in the cross member. If rusted or poorly welded to begin with - that's a big repair.
The rockers act as a structural component - so check inner and outer along with connections at the sub frames.

Know that '67s came standard with some items that later became options, such as fold down rear seat in fastbacks.
Know that '67 has a one year only idler arm. It's not a big deal but does cost more and can wear out more quickly depending on how you use the car.
Know that '67 has a one year only front and rear windshield gasket and brite-lock retainer.
Shoulder belts and headrests are very rare options on a '67.
Both were standard after Jan 1, 1969.
Emissions controls started coming into use in '68 and were universal in '69. Generally no big deal as it only impacted idle and decel. But depending on what your goals are they can be a pain. A pain in that if you're keeping them, parts can sometimes be hard to get. If doing away with them, that takes some work to get them back to pre-emissions set up.

Look out for alternations. Some modifications are well done, but at least as many are not. Lots of snake oil has been sold over the last 50 years....