Pretty much every power transmission technology that has been used in production vehicles has problems--clutches wear out, chains or belts snap, etc. Plus early failures can and do occur even with tried and tested designs.
My reservations about CVTs have more to do with their being still relatively new and unproven, which means it is unclear to what extent an owner can protect his or her investment by cutting maintenance intervals or upgrading to better-quality lubricants.
Nissan also has transmission issues that pre-date CVT rollout. I hear stories about Nissans with conventional clutch automatics that run well until the transmission fails around the 100,000-mile mark. I also owned and put 170,000 miles on a 1986 Maxima, and as one does with a model and generation one really likes, I would look at newspaper ads for other Maximas of similar vintage. There were many at the time, but very few with 200,000 miles without a rebuilt transmission.
My Maxima had 56,000 miles when I got it and was already starting to shift a bit too firmly. I got hold of the FSM, and checked shift timing, only to discover it still met factory specifications. So I fiddled with the shift adjusting cable, deliberately taking it out of spec, and kept test-driving until I was happy with the shift quality. I also did a few ATF drains and fills on very short intervals until most of the old fluid was changed out, and then stuck to a 30,000-mile drain-and-fill interval. I never had to have the transmission repaired before I donated the car at 227,000 miles, though I was starting to see the very beginnings of shift flare.
It is possible my out-of-spec adjustments caused more trouble than they solved, and I was aware of that when I did them, but I figured I was better off loading the engine up a little with shifting a bit on the early side rather than putting up with the repeated shock loads from delayed and harsh upshifts. Of course, this kind of tinkering is now impossible with solenoid actuation controlled by programmed logic.