ok I'll play...what common problems are on a T/L 3.5 v6 engine 2007-present?
You're kidding, right?
Well start with the oil leaks. The timing case goes over the front of the block and both heads, and the heads and block are not machined properly so the surfaces do not line up, so the wads of gray sealant they put in under the timing case (there is no gasket) eventually pushes out and they start leaking oil all over. Bad. And on all the GR engines, there is no fixing anything on them inside the car, the engine has to come out.
The oil pipes leak (some had recalls for these), but they can spontaneously, with no warning, split open and spew oil out all over the place. Even on cars that were not under the recall, and even on some that WERE recalled but AFTER they were "fixed".
The GRs equipped with oil coolers also have oil hoses that spontaneously split and pump all the oil out of the engines, in about 30 seconds. There is an updated all-metal oil cooler hose replacement for these, assuming the engine is still good.
They break valve springs a lot. Again, some have recalls/TSBs, some don't.
The VVT actuators like to come apart. The little M6 bolts just back out, and grind against the inside of the timing case making some noise... for a short time... before they just shear off and the actuator comes apart. This generally trashes the engine beyond reasonable repair (due to the stratospheric cost of parts... the VVT actuators alone are $350 each, and there are four of them, one for each camshaft). These are so problematic and so expensive, that the aftermarket even makes them (Dorman branded usually).
They sometimes have the steel sleeves for the cylinders slide out of the aluminum block. They just slip down, down, down, until the big end of the rod smashes into it breaking the bottom off and sending shrapnel all over the crankcase. These make a really cool cringeworthy noise if you catch one in the act of shredding itself.
The cartridge oil filters (mounted underneath) are easily overtightened, which causes all sort of fun air-chisel use to get them off, and sometimes ruins the oil pan upper assembly (the bottom of the crankcase, the actual "oil pan" is just a little steel sump down low). This upper part is a huge job, and depending on application requires subframe removal and/or engine removal to fix.
Water pumps are high failure items, many do not make it past about 80k miles, and again depending on application can be a real pain to change.
And also, somewhere in Japan someone must've earned a Ribbon of Shame over the newer Denso alternators' MUCH shorter life than we used to see. Back in the '80s and '90s and early '00s, Denso units were rarely ever seen bad. Today it is a very common occurrence.
To be fair, Toyota HAS done a lot to address much of the weakness and fragile nature of the GR engine family. Many things have been improved, and I would say 2015+ they are likely much better. Also, a lot of the issues never seemed to plague the truck versions (the 4.0L and the later [fake] Atkinson Cycle 3.5L). These engines also seemed to have dodge so many of the other Toyota engines of recent years that are plagued with rampant bad oil consumption problems (primarily the four cylinders). I also think that statistically they are generally pretty good for new cars for that first 100k miles. But after that, I just don't feel they are the legendary Toyotas of years gone by. I'd not bat an eye at a 1990 Camry with 300k miles on it. But a 2010? Doubtful.