There arnt any....
The 5.3/4L60 is probably the longest lasting drive train you'll ever find in a half ton. 5.3s arnt notorious for being power houses in stock form but they are light years ahead of what the 5.7 (350) was. The 5.3 is capible of a lot of power of tuned right, they are very restricted from the factory. Do yourself a favor if your get one and get a good PMC tune (not a junk plug in tuner), have them delete torque management, VTC and all that other crap. Your milage will improve greatly in town and power/felt power will be nigh and day difference!!!
As far as longevity, there are no bad years but there are bad seeds in every bunch so ya "someone" has always had an issue... But odds are with the vehicle your looking at 250-300k miles is expected and more isn't uncommon without and drivetrain issues.
The Oil issue, it's an LS and a lot of them do it. Some will use a quart of oil I between changes by its no big deal, it's the nature of the beast.
I just bought a 2005 Z71 suburban 2 months ago, it's about the 10th 5.3 vehicle I've had. I agree with the earlier poster, it go with the Suburban over the Tahoe, they are the same price and you get more room.
Listen to this man.
Got a 2004 5.3 Avalanche..... it's got ~145K. Replaced the fuel pump and alternator so far, along with the HVAC blend door.
Added some Long Tubes, Y pipe, and did a PCM tune. HUGE difference. They are pigs otherwise.